AuraNebula
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Find the P-value for the indicated hypothesis test.

A random sample of 139 forty-year-old men contains 26% smokers. Find the P-value for a test of the claim that the percentage of forty-year-old men that smoke is 22%.

A. 0.1271
B. 0.2542
C. 0.1401
D. 0.2802

Sagot :

First identify the following
Population mean: 22%
Sample size = 139
Sample mean: 26%
Z = (sample mean - population mean)/sqrt((pop mean*(1-pop mean))/sample size

Z = 0.04/sqrt((0.22)(0.78))/139
Z= 1.1384
P value using z score table is 0.8729
But that is for values within that range we want values greater than 22%. So it would be 1-0.8729 = 0.1271 or A
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