voters who either voted for Candidate A ("X, = l") or for Candidate B ("X; = 0"). Denote the probability of voting for Candidate A by p. We wish to test Ho : p 2 0.5 vs. Hị : p< 0.5. (i.e. the hypothesis that candidate A will not loose the election). Suppose that n = 20. (1) Suppose that 5 voters voted for candidate A and 15 for candidate B. Calculate the p-value of the hypothesis test you conclude? What can (2) Suppose that 15 voters voted for candidate A and 5 for candidate B. Calculate the p-value of the hypothesis test you conclude? What can

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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a random sample X1, ..., X, of
voters who either voted for Candidate A ("X; = l") or for Candidate B (“X; = 0"). Denote
the probability of voting for Candidate A by p. We wish to test
%3D
Ho : p > 0.5 vs.
Hị :p< 0.5.
(i.e. the hypothesis that candidate A will not loose the election). Suppose that = 20.
(1) Suppose that 5 voters voted for candidate A and 15 for candidate B. Calculate the
p-value of the hypothesis test
you conclude?
What can
(2) Suppose that 15 voters voted for candidate A and 5 for candidate B. Calculate the
p-value of the hypothesis test
you conclude?
What can
Transcribed Image Text:a random sample X1, ..., X, of voters who either voted for Candidate A ("X; = l") or for Candidate B (“X; = 0"). Denote the probability of voting for Candidate A by p. We wish to test %3D Ho : p > 0.5 vs. Hị :p< 0.5. (i.e. the hypothesis that candidate A will not loose the election). Suppose that = 20. (1) Suppose that 5 voters voted for candidate A and 15 for candidate B. Calculate the p-value of the hypothesis test you conclude? What can (2) Suppose that 15 voters voted for candidate A and 5 for candidate B. Calculate the p-value of the hypothesis test you conclude? What can
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