The table shows the number of pitchers with E.R.A's below 3.5 in a random sample of sixty pitchers from the National League and in a random sample of fifty-two pitchers from the American League.Assume that you plan to use a significance level of =0.05 to test the claim thatp1Jp2.Find the critical value(s) for this hypothesis test. Do the data support the claim that the proportion of National League pitchers with an E.R.A. below 3.5 differs from the proportion of American League pitchers with an E.R.A. below 3.5?

Nation League American League

Number of pitchers in sample 60 52

Number of pitchers with E.R.A. below 3.5 10 8

A)z=1.645; yes

B)z=1.645; yes

C)z=1.96; no

D)z=2.575; no