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WebAssignHomework #11 Chapter 11 (Homework)
Long NguyenMath 10, section 12, Winter 2011Instructor: Roberta Bloom
Current Score : 10 / 10 Due : Friday, March 18, 2011 11:00 AM PDT
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
1 of 22 3/17/11 9:49 PM
1. 1.4/1.4 points Question: IDCollabStat1 11.HW.002.
A 6-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5%
level to determine if the die is fair. The data below are the result of the 120 rolls.
Face Value Frequency Expected Frequency
1 14 20
2 31 20
3 15 20
4 15 20
5 30 20
6 15 20
Part (a)
Part (b)
Part (c)
Part (d)
Part (e)
Part (f)
State the null hypothesis.
The data do not fit the distribution for a fair 6-sided die.
The data fit the distribution for a fair 6-sided die.
State the alternative hypothesis.
The data fit the distribution for a fair 6-sided die.
The data do not fit the distribution for a fair 6-sided die.
What are the degrees of freedom?
5
State the distribution to use for the test.
t6
t5
What is the test statistic? (Round your answer to two decimal places.)
16.6
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
2 of 22 3/17/11 9:49 PM
Part (g)
Part (h)
2. 1.2/1.2 points Question: IDCollabStat1 11.HW.003.
What is the p-value? (Round your answer to four decimal places.)
0.0053
Explain what the p-value means for this problem.
Correct! A p-value is the probability that an outcome of the data will happen purely by chance when is
true.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
H0
H0
H0
H0
H0
Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding
to the p-value. (Upload your file below.)
Browse…
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
3 of 22 3/17/11 9:49 PM
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Reading
Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate
conclusion.
(i) Alpha:
α = 0.05
(ii) Decision:
(iii) Reason for decision:
(iv) Conclusion:
reject the null hypothesis
do not reject the null hypothesis
Since α < p-value, we do not reject the null hypothesis.
Since α > p-value, we do not reject the null hypothesis.
Since α > p-value, we reject the null hypothesis.
Since α < p-value, we reject the null hypothesis.
There is sufficient evidence to conclude that the data do not fit the distribution for a fair
6-sided die.
There is not sufficient evidence to conclude that the data do not fit the distribution for a
fair 6-sided die.
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
4 of 22 3/17/11 9:49 PM
The marital status distribution of the U.S. male population, age 15 and older, is as shown below.
Marital Status Percent
never married 31.3
married 56.1
widowed 2.5
divorced/separated 10.1
Suppose that a random sample of 400 U.S. young adult males, 18 – 24 years old, yielded the following frequency
distribution. We are interested in whether this age group of males fits the distribution of the U.S. adult population
at the 5% level. Calculate the frequency one would expect when surveying 400 people. Fill in the table below,
rounding to two decimal places.
Marital Status Frequency Expected Frequency
never married 138 125.20
married 239 224.4
widowed 2 10
divorced/separated 21 40.4
Part (a)
Part (b)
Part (c)
Part (d)
State the null hypothesis.
The data fit the distribution of marital status for the U.S. adult population.
The data do not fit the distribution of marital status for the U.S. adult population.
State the alternative hypothesis.
The data do not fit the distribution of marital status for the U.S. adult population.
The data fit the distribution of marital status for the U.S. adult population.
What are the degrees of freedom?
3
State the distribution to use for the test.
t3
t4
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
5 of 22 3/17/11 9:49 PM
Part (e)
Part (f)
Part (g)
Part (h)
3. 1.4/1.4 points Question: IDCollabStat1 11.HW.006.
What is the test statistic? (Round your answer to two decimal places.)
17.97
What is the p-value? (Round your answer to four decimal places.)
0.0004
Explain what the p-value means for this problem.
Correct! A p-value is the probability that an outcome of the data will happen purely by chance when is
true.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
H0
H0
H0
H0
H0
Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding
to the p-value. (Upload your file below.)
Browse…
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
6 of 22 3/17/11 9:49 PM
Help Me Learn By
Reading
Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate
conclusion.
(i) Alpha:
α = 0.05
(ii) Decision:
(iii) Reason for decision:
(iv) Conclusion:
reject the null hypothesis
do not reject the null hypothesis
Since α < p-value, we reject the null hypothesis.
Since α > p-value, we reject the null hypothesis.
Since α < p-value, we do not reject the null hypothesis.
Since α > p-value, we do not reject the null hypothesis.
There is sufficient evidence to conclude that the data do not fit the distribution of marital
status for the U.S. adult population.
There is not sufficient evidence to conclude that the data do not fit the distribution of
marital status for the U.S. adult population.
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
7 of 22 3/17/11 9:49 PM
The City of South Lake Tahoe has an Asian population of 1419 people, out of a total population of 23,609.†
Conduct a goodness of fit test at the 5% level to determine if the self-reported sub-groups of Asians are evenly
distributed. (Round expected frequency to two decimal places.)
Race Frequency Expected Frequency
Asian Indian 131 202.71
Chinese 118 202.71
Filipino 1045 202.71
Japanese 80 202.71
Korean 12 202.71
Vietnamese 9 202.71
Other 24 202.71
Part (a)
Part (b)
Part (c)
Part (d)
Part (e)
State the null hypothesis.
The self-reported sub-groups of Asians are not evenly distributed.
The self-reported sub-groups of Asians are evenly distributed.
State the alternative hypothesis.
The self-reported sub-groups of Asians are evenly distributed.
The self-reported sub-groups of Asians are not evenly distributed.
What are the degrees of freedom?
6
State the distribution to use for the test.
t6
t7
What is the test statistic? (Round your answer to two decimal places.)
4156.97
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
8 of 22 3/17/11 9:49 PM
Part (f)
Part (g)
Part (h)
4. 1.5/1.5 points Question: IDCollabStat1 11.HW.010.
What is the p-value? (Round your answer to four decimal places.)
0.0000
Explain what the p-value means for this problem.
Correct! A p-value is the probability that an outcome of the data will happen purely by chance when is
true.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
H0
H0
H0
H0
H0
Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding
to the p-value. (Upload your file below.)
Browse…
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
9 of 22 3/17/11 9:49 PM
Help Me Learn By
Reading
Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate
conclusion.
(i) Alpha:
α = 0.05
(ii) Decision:
(iii) Reason for decision:
(iv) Conclusion:
reject the null hypothesis
do not reject the null hypothesis
Since α > p-value, we do not reject the null hypothesis.
Since α < p-value, we do not reject the null hypothesis.
Since α < p-value, we reject the null hypothesis.
Since α > p-value, we reject the null hypothesis.
There is sufficient evidence to conclude that the self-reported sub-groups of Asians are
not evenly distributed.
There is not sufficient evidence to conclude that the self-reported sub-groups of Asians
are not evenly distributed.
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
10 of 22 3/17/11 9:49 PM
Car manufacturers are interested in whether there is a relationship between the size of car an individual drives
and the number of people in the driver's family (that is, whether car size and family size are independent). To test
this, suppose that 801 car owners were randomly surveyed with the following results. Conduct a test for
independence at the 5% level.
Family Size Sub & Compact Mid-size Full-size Van & Truck
1 19 34 41 36
2 19 50 69 79
3 - 4 20 50 100 91
5+ 20 31 71 71
Part (a)
Part (b)
Part (c)
Part (d)
Part (e)
Part (f)
State the null hypothesis.
The size of the car an individual drives is dependent on the number of people in the driver's
family.
The size of the car an individual drives is independent of the number of people in the driver's
family.
State the alternative hypothesis.
The size of the car an individual drives is independent of the number of people in the driver's
family.
The size of the car an individual drives is dependent on the number of people in the driver's
family.
What are the degrees of freedom?
9
State the distribution to use for the test.
t9
t3
What is the test statistic? (Round your answer to two decimal places.)
13.73
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
11 of 22 3/17/11 9:49 PM
Part (g)
Part (h)
5. 1.5/1.5 points Question: IDCollabStat1 11.HW.012.
What is the p-value? (Round your answer to four decimal places.)
0.1322
Explain what the p-value means for this problem.
Correct! A p-value is the probability that an outcome of the data will happen purely by chance when is
true.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
H0
H0
H0
H0
H0
Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding
to the p-value. (Upload your file below.)
Browse…
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
12 of 22 3/17/11 9:49 PM
Help Me Learn By
Reading
Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate
conclusion.
(i) Alpha:
α = 0.05
(ii) Decision:
(iii) Reason for decision:
(iv) Conclusion:
reject the null hypothesis
do not reject the null hypothesis
Since α > p-value, we do not reject the null hypothesis.
Since α > p-value, we reject the null hypothesis.
Since α < p-value, we do not reject the null hypothesis.
Since α < p-value, we reject the null hypothesis.
There is sufficient evidence to conclude that the size of the car an individual drives is
dependent on the number of people in the driver's family.
There is not sufficient evidence to conclude that the size of the car an individual drives is
dependent on the number of people in the driver's family.
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
13 of 22 3/17/11 9:49 PM
Some travel agents claim that honeymoon hot spots vary according to the age of the bride and groom. Suppose
that 283 East Coast recent brides were interviewed as to where they spent their honeymoons. The information is
given below. Conduct a test for independence at the 5% level.
Location 20 – 29 30 – 39 40 – 49 50 and over
Niagara Falls 14 26 24 20
Poconos 15 25 26 11
Europe 10 24 14 6
Virgin Islands 21 25 16 6
Part (a)
Part (b)
Part (c)
Part (d)
Part (e)
Part (f)
State the null hypothesis.
The honeymoon location is dependent on the age of the bride and groom.
The honeymoon location is independent of the age of the bride and groom.
State the alternative hypothesis.
The honeymoon location is dependent on the age of the bride and groom.
The honeymoon location is independent of the age of the bride and groom.
What are the degrees of freedom?
9
State the distribution to use for the test.
t3
t9
What is the test statistic? (Round your answer to two decimal places.)
14.08
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
14 of 22 3/17/11 9:49 PM
Part (g)
Part (h)
6. 1.5/1.5 points Question: IDCollabStat1 11.HW.013.
What is the p-value? (Round your answer to four decimal places.)
0.1195
Explain what the p-value means for this problem.
Correct! A p-value is the probability that an outcome of the data will happen purely by chance when is
true.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
H0
H0
H0
H0
H0
Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding
to the p-value. (Upload your file below.)
Browse…
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
15 of 22 3/17/11 9:49 PM
Help Me Learn By
Reading
Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate
conclusion.
(i) Alpha:
α = 0.05
(ii) Decision:
(iii) Reason for decision:
(iv) Conclusion:
reject the null hypothesis
do not reject the null hypothesis
Since α > p-value, we do not reject the null hypothesis.
Since α < p-value, we reject the null hypothesis.
Since α > p-value, we reject the null hypothesis.
Since α < p-value, we do not reject the null hypothesis.
There is sufficient evidence to conclude that the honeymoon location is dependent on
the age of the bride and groom.
There is not sufficient evidence to conclude that the honeymoon location is dependent
on the age of the bride and groom.
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
16 of 22 3/17/11 9:49 PM
A manager of a sports club keeps information concerning the main sport in which members participate and their
ages. To test whether there is a relationship between the age of a member and his or her choice of sport, 635
members of the sports club are randomly selected. Conduct a test for independence at the 5% level.
Sport 18 – 25 26 – 30 31 – 40 41 and over
racquetball 41 56 29 44
tennis 59 75 38 64
swimming 73 59 64 33
Part (a)
Part (b)
Part (c)
Part (d)
Part (e)
Part (f)
State the null hypothesis.
An individual's choice of sport is dependent on age.
An individual's choice of sport is independent of age.
State the alternative hypothesis.
An individual's choice of sport is independent of age.
An individual's choice of sport is dependent on age.
What are the degrees of freedom?
6
State the distribution to use for the test.
t6
t3
What is the test statistic? (Round your answer to two decimal places.)
24.17
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
17 of 22 3/17/11 9:49 PM
Part (g)
Part (h)
7. 1.5/1.5 points Question: IDCollabStat1 11.HW.016.
What is the p-value? (Round your answer to four decimal places.)
0.0004
Explain what the p-value means for this problem.
Correct! A p-value is the probability that an outcome of the data will happen purely by chance when is
true.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
H0
H0
H0
H0
H0
Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding
to the p-value. (Upload your file below.)
Browse…
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
18 of 22 3/17/11 9:49 PM
Help Me Learn By
Reading
Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate
conclusion.
(i) Alpha:
α = 0.05
(ii) Decision:
(iii) Reason for decision:
(iv) Conclusion:
reject the null hypothesis
do not reject the null hypothesis
Since α < p-value, we do not reject the null hypothesis.
Since α > p-value, we do not reject the null hypothesis.
Since α < p-value, we reject the null hypothesis.
Since α > p-value, we reject the null hypothesis.
There is sufficient evidence to conclude that an individual's sport of choice is dependent
on age.
There is not sufficient evidence to conclude that an individual's sport of choice is
dependent on age.
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
19 of 22 3/17/11 9:49 PM
Suppose that 600 30-year-olds were surveyed to determine whether or not there is a relationship between the
level of education an individual has and salary. Conduct a test for independence at the 5% level.
Annual SalaryNot a high school
graduate
High school
graduateCollege graduate Masters or doctorate
< $30,000 15 25 15 5
$30,000 – $40,000 25 45 70 30
$40,000 – $50,000 10 0 35 55
$50,000 – $60,000 5 15 15 60
$60,000+ 5 10 15 145
Part (a)
Part (b)
Part (c)
Part (d)
Part (e)
State the null hypothesis.
The annual salary of the 30-year-old is dependent on the level of education that the individual
obtained.
The annual salary of the 30-year-old is independent of the level of education that the individual
obtained.
State the alternative hypothesis.
The annual salary of the 30-year-old is independent of the level of education that the individual
obtained.
The annual salary of the 30-year-old is dependent on the level of education that the individual
obtained.
What are the degrees of freedom?
12
State the distribution to use for the test.
t12
t5
What is the test statistic? (Round your answer to two decimal places.)
236.40
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
20 of 22 3/17/11 9:49 PM
Part (f)
Part (g)
Part (h)
What is the p-value? (Round your answer to four decimal places.)
0.0000
Explain what the p-value means for this problem.
Correct! A p-value is the probability that an outcome of the data will happen purely by chance when is
true.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
If is true, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or less than the calculated value.
If is false, then there is a chance equal to the p-value that the value of the test statistic
will be equal to or greater than the calculated value.
H0
H0
H0
H0
H0
Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding
to the p-value. (Upload your file below.)
Browse…
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
21 of 22 3/17/11 9:49 PM
Help Me Learn By
Reading
Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate
conclusion.
(i) Alpha:
α = 0.05
(ii) Decision:
(iii) Reason for decision:
(iv) Conclusion:
reject the null hypothesis
do not reject the null hypothesis
Since α > p-value, we do not reject the null hypothesis.
Since α > p-value, we reject the null hypothesis.
Since α < p-value, we reject the null hypothesis.
Since α < p-value, we do not reject the null hypothesis.
There is sufficient evidence to conclude that the annual salary of the 30-year-old is
dependent on the level of education that the individual obtained.
There is not sufficient evidence to conclude that the annual salary of the 30-year-old is
dependent on the level of education that the individual obtained.
Homework #11 Chapter 11 http://www.webassign.net/v4cginguyen.long@deanza/student.p...
22 of 22 3/17/11 9:49 PM