Question

Q2) Independent random samples of sizes n₁ = 208 and n₂ = 209 were taken from two populations. In the first sample, 172 of the individuals met a certain criteria whereas in the second sample, 181 of the individuals met the same criteria.

Test the null hypothesis H0:p1=p2versus the alternative hypothesis HA:p1>p2.

a) Calculate the z test statistic, testing the null hypothesis that the population proportions are equal. Round your response to at least 2 decimal places.

b) What is the approximate value of the p-value?  Round your response to at least 4 decimal places.

c) Is there any evidence, at the 10% level of significance, to indicate that p₁and p₂are not equal to each other? Yes or No

Answer 1

c) No