Question

Conduct the following test at the a=0.01 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 p1≠p2. Sample data are x1=30​, n1=254​, x2=38 and n2=302.

Answer 1

n1=254

n2=302

x1=30

x2=38

level of significance = 0.01

a)

null and alternate hypotheses.

b)

Test statistic

Formula

c)

critical value = 2.58

critical value ,Failed to Reject Ho .