9.1 Notes: Day 1 Name: ________________________ When your goal is to: Estimate a population parameter, use a __________________________. Assess the evidence provided by data about some claim concerning a population, use a __________________________. Null hypothesis (claim tested by a statistical test) vs. alternative hypotheses (claim we are trying to find evidence for) Symbols (parameters only) One-sided vs. two-sided Free throw shooter simulation For each example, describe the parameter of interest and state appropriate hypotheses for significance test. Example 1: According to the website sleepdeprivation.com, 85% of teens are getting less than eight hours of sleep a night. Jannie wonders whether this result holds in her large high school. She asks an SRS of 100 students at the school how much sleep they get on a typical night. In all, 75 responders said less than 8 hours. Example 2: The mean weight of loaves of bread produced at the bakery where you work is supposed to be one pound. You are the supervisor of quality control at the bakery, and you are concerned that new personnel are producing loaves that have a mean weight of more than one pound. Definition of P-value: Significance Level: Statistically significance

For each example, describe the parameter of interest and ...cseitz.pbworks.com/w/file/fetch/115530748/9.1 Notes_day1_key.pdf · b) What conclusion would you draw at the α = 0.05

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Page 1: For each example, describe the parameter of interest and ...cseitz.pbworks.com/w/file/fetch/115530748/9.1 Notes_day1_key.pdf · b) What conclusion would you draw at the α = 0.05

9.1 Notes: Day 1 Name: ________________________

When your goal is to: Estimate a population parameter, use a __________________________. Assess the evidence provided by data about some claim concerning a population, use a __________________________.

Null hypothesis (claim tested by a statistical test) vs. alternative hypotheses (claim we are trying to find evidence for) Symbols (parameters only)

One-sided vs. two-sided

Free throw shooter simulation

For each example, describe the parameter of interest and state appropriate hypotheses for significance test.

Example 1: According to the website sleepdeprivation.com, 85% of teens are getting less than eight hours of sleep a night. Jannie wonders whether this result holds in her large high school. She asks an SRS of 100 students at the school how much sleep they get on a typical night. In all, 75 responders said less than 8 hours.

Example 2: The mean weight of loaves of bread produced at the bakery where you work is supposed to be one pound. You are the supervisor of quality control at the bakery, and you are concerned that new personnel are producing loaves that have a mean weight of more than one pound.

Definition of P-value:

Significance Level:

Statistically significance

Page 2: For each example, describe the parameter of interest and ...cseitz.pbworks.com/w/file/fetch/115530748/9.1 Notes_day1_key.pdf · b) What conclusion would you draw at the α = 0.05

Conclusion of significance test

Example 3: Suppose you weigh an SRS of bread loaves (from EX 2) and find that the mean weight is 1.025 pounds, which yields a P-value of 0.086.

a) Interpret the P-value in the context of the problem.

b) What conclusion would you draw at the α = 0.05 level? At the α = 0.10 level?

You Try!: Tasty Chips For his second semester project in AP Statistics, Zenon decided to investigate if students at his school prefer name-brand potato chips to generic potato chips. He randomly selected 50 students and had each student try both types of chips, in random order. Overall, 34 of the 50 students preferred the name-brand chips. The resulting P-value was 0.0055.

a) Describe the parameter of interest and state appropriate hypotheses for significance test.

b) Interpret the P-value in the context of the problem.

c) What conclusion would you make at each of the following significance levels?

α = 0.01

α = 0.001

HW: Page 546 #2,4,8,10,12,14,17