Consider the large-sample level .01 test for testing $H _ { 0 } : p = .2$ versus $H _ { a } : p .2$
a. For the alternative value p = .21, compute $\beta ( .21 )$
sample sizes n = 100, 2500, 10,000, 40,000, and 90,000.
b. For $\hat { p } = x / n = .21$
, compute the p-value when n = 100, 2500, 10,000, and 40,000.

Question

Consider the large-sample level .01 test for testing $H _ { 0 } : p = .2$ versus $H _ { a } : p > .2$ 
a. For the alternative value p = .21, compute $\beta ( .21 )$ 
sample sizes n = 100, 2500, 10,000, 40,000, and 90,000. 
b. For $\hat { p } = x / n = .21$ 
, compute the p-value when n = 100, 2500, 10,000, and 40,000.

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The Answer of Consider the large-sample level .01 test for testing $H _ { 0 } : p = .2$ versus $H _ { a } : p > .2$ 
a. For the alternative value p = .21, compute $\beta ( .21 )$ 
sample sizes n = 100, 2500, 10,000, 40,000, and 90,000. 
b. For $\hat { p } = x / n = .21$ 
, compute the p-value when n = 100, 2500, 10,000, and 40,000.

Consider the Large-Sample Level H0:p=.2H _ { 0 } : p = .2H0​:p=.2

Consider the Large-Sample Level $H _ { 0 } : p = .2$