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A bowl contains two red balls, two white balls, and a
Chapter 8, Problem 2E(choose chapter or problem)
PROBLEM 2E
A bowl contains two red balls, two white balls, and a fifth ball that is either red or white. Let p denote the probability of drawing a red ball from the bowl. We shall test the simple null hypothesis H0: p = 3/5 against the simple alternative hypothesis H1: p = 2/5. Draw four balls at random from the bowl, one at a time and with replacement. Let X equal the number of red balls drawn.
(a) Define a critical region C for this test in terms of X.
(b) For the critical region C defined in part (a), find the values of α and β.
Questions & Answers
QUESTION:
PROBLEM 2E
A bowl contains two red balls, two white balls, and a fifth ball that is either red or white. Let p denote the probability of drawing a red ball from the bowl. We shall test the simple null hypothesis H0: p = 3/5 against the simple alternative hypothesis H1: p = 2/5. Draw four balls at random from the bowl, one at a time and with replacement. Let X equal the number of red balls drawn.
(a) Define a critical region C for this test in terms of X.
(b) For the critical region C defined in part (a), find the values of α and β.
ANSWER:
Step 1 of 6
Given:
