Conduct the following test at the alpha equals0.05 level of significance by determining​

(a) the null and alternative​ hypotheses,
(b) the test​ statistic, and​
(c) the critical value.

Assume that the samples were obtained independently using simple random sampling. Test whether p 1 not equals p 2 . Sample data are x 1 equals 28 ​, n 1 equals 255 ​, x 2 equals 36 and n 2 equals 302 .

​(a) Choose the correct null and alternative hypotheses below.

A. Upper H 0 : p 1 equals p 2 versus Upper H 1 : p 1 greater than p 2 Your answer is correct.
B. Upper H 0 : p 1 equals 0 versus Upper H 1 : p 1 not equals 0
C. Upper H 0 : p 1 equals p 2 versus Upper H 1 : p 1 not equals p 2
D. Upper H 0 : p 1 equals p 2 versus Upper H 1 : p 1 less than p 2 ​
(b) Determine the test statistic. z0equals nothing ​(Round to two decimal places as​ needed.)