4 Assume that you plan to use a significance level of 005 t

4) Assume that you plan to use a significance level of = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the z test statistic for the hypothesis test.
A random sampling of sixty pitchers from the National League and fifty-two pitchers from the American League showed that 15 National and 10 American League pitchers had E.R.A\'s below 3.5.   

Solution

H0: p1 = p2

Ha: p1 not equal to p2

Two tailed test for proportions

As p value =0.0000 <alpha, reject null hypothesis

The two proportions are not equal