Question

Independent random samples of sizes n₁ = 201 and n₂ = 205 were taken from two populations. In the first sample, 174 of the individuals met a certain criteria whereas in the second sample, 177 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 3 decimal places.

    

b) What is the approximate value of the p-value?

Round your response to at least 3 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