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 derived in the problem for Lecture 9b. What can you conclude? (2) Suppose that 15 voters voted for candidate A and 5 for candidate B. Calculate the p-value of the hypothesis test you derived in the problem for Lecture 9b. What can you conclude?

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Chapter1: Combinatorial Analysis
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a random sample X1, . . . , Xn of voters who either voted for Candidate A (“Xi = 1”) or for Candidate B (“Xi = 0”). Denote the probability of voting for Candidate A by p. We wish to test

Ho : p 2 0.5 vs.
H1 : 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 derived in the problem for Lecture 9b. What can
you conclude?
(2) Suppose that 15 voters voted for candidate A and 5 for candidate B. Calculate the
p-value of the hypothesis test you derived in the problem for Lecture 9b. What can
you conclude?
Transcribed Image Text:Ho : p 2 0.5 vs. H1 : 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 derived in the problem for Lecture 9b. What can you conclude? (2) Suppose that 15 voters voted for candidate A and 5 for candidate B. Calculate the p-value of the hypothesis test you derived in the problem for Lecture 9b. What can you conclude?
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