Solve the problem. 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 to use a significance level of a = 0.05 to test the claim that p1 #p2. Find the critical value(s) for this hypothes 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? Number of pitchers in sample Number of pitchers with E.R.A. below 3.5 O z = ± 2.575; no Oz= ± 1.96; no z = 1.645: yes 1.645 National League 60 10 American League 52 8

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Solve the problem.
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 p
to use a significance level of a = 0.05 to test the claim that p1 #p2- Find the critical value(s) for this hypothesi
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?
Number of pitchers in sample
Number of pitchers with E.R.A. below 6.5 10
Oz= ±2.575; no
O z == 1.96; no
National League
O z=1.645: yes
Oz=11.645: yes
American League
52
Transcribed Image Text:Solve the problem. 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 p to use a significance level of a = 0.05 to test the claim that p1 #p2- Find the critical value(s) for this hypothesi 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? Number of pitchers in sample Number of pitchers with E.R.A. below 6.5 10 Oz= ±2.575; no O z == 1.96; no National League O z=1.645: yes Oz=11.645: yes American League 52
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