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Is high blood pressure dangerous
The Connection between Chi-Squared and
2 Proportion Tests
Is high blood pressure dangerous? Medical researchers classified each of a group of men as high or low blood pressure, then watched them for 5 years. (Men with systolic blood pressure 140mm Hg or higher were high; the others, low.) The following two-way table gives the results of the study. Is high blood pressure associated with a higher death rate?
_________________Died Survived TotalLow blood pressure 21 2655
2676
High blood pressure 55 3283 3338
Total
76
5938
6014
Is high blood pressure dangerous? Medical researchers classified each of a group of men as high or low blood pressure, then watched them for 5 years. (Men with systolic blood pressure 140mm Hg or higher were high; the others, low.) The following two-way table gives the results of the study. Is high blood pressure associated with a higher death rate?
_________________Died
Survived
TotalLow blood pressure 21 2655
2676
High blood pressure 55 3283
3338
Total
76
5938
6014Test of Independence: (Data in matrix [A], run X2)
H0: Blood pressure and death rate are not associatedHa: Blood pressure and death rate are associatedX2 = 8.86; df = 1; p = .0029.shows there is an association between blood pressure and death rate.
2 proportion z test: (comparing any set of 2 proportions in table)
H0: pL = pHwhere pL is the proportion of men with low blood pressure who died
Ha: pL ( pHand pH is the proportion of men with high blood pressure who diedz = 2.977; p = .0029shows there is a difference in the death rate for men with low blood pressure versus those with high blood pressure