Draw a picture of the appropriate sampling distribution and

Question

In comparing two proportions, suppose that p₁ = p₂ = .5 and n1 = n2 = 100.

a. Draw a picture of the appropriate sampling distribution, and show where the value P^{^}₁ - P^{^}₂ = 0.13 falls on it.

b. Find the value of the standardized statistic corresponding to P^{^}₁ - P^{^}₂ = 0.13.

c. Draw a picture of the standard normal distribution with the standardized statistic you found in part (b) shown on it. Compare it to your picture in part (a).