Refer to Exercise 10.33. The political researcher should

Chapter 10, Problem 40E

(choose chapter or problem)

Problem 40E

Refer to Exercise 10.33. The political researcher should have designed a test for which β is tolerably low when p1 exceeds p2 by a meaningful amount. For example, find a common sample size n for a test with α = .05 and β ≤ .20 when in fact p1 exceeds p2 by .1. [Hint: The maximum value of p(1 − p) is .25.]

Reference

Apolitical researcher believes that the fraction p1 of Republicans strongly in favor of the death penalty is greater than the fraction p2 of Democrats strongly in favor of the death penalty. He acquired independent random samples of 200 Republicans and 200 Democrats and found 46 Republicans and 34 Democrats strongly favoring the death penalty. Does this evidence provide statistical support for the researcher’s belief? Use α = .05.