Question

In a test for the difference between two proportions, the sample sizes were n1=68 and n2=76 , and the numbers of successes in each sample were x1=41 and x2=25 . A test is made of the hypothesis Ho:p1=p2 versus H1:P1>p2 are the assumptions satisfied in order to do this test?Explain. B) Find the test statistics value C) Can you reject the null hypothesis at the a=0.01 significance level? Use Ti-84 for calculations please. DETAIL PLEASE

Answer 1

a) since n1p1^ ; n2p2^ , n1(1-p1^) , n2*(1-p2^) all are greater than 10 the assumtion for normal approximation are satisfied,.

B)on ti-84

press stat:: tests -6: 2 -prop z test

output is":

test statistic z =3.29

c)

since p value <0.01 we reject = null hypothesis