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.)