In a political campaign, one candidate has a poll taken at random from the voting population. The results of poll are that 301 out of 400 voters favor the candidate. Let Ρ be the fraction of the voting population that favors the candidate. (i) Test Ho: p (ii) Test Hop: = = 0.8 against H₁p < 0.8 at significance level a = 0.05 0.8 against H₁ p < 0.8 at significance level a = 0.01. (iii) Compute the associated p-value. (iv) What is the smallest significance level a for which we can reject Hop = 0.8 in favor of H₁ p < 0.8?
In a political campaign, one candidate has a poll taken at random from the voting population. The results of poll are that 301 out of 400 voters favor the candidate. Let Ρ be the fraction of the voting population that favors the candidate. (i) Test Ho: p (ii) Test Hop: = = 0.8 against H₁p < 0.8 at significance level a = 0.05 0.8 against H₁ p < 0.8 at significance level a = 0.01. (iii) Compute the associated p-value. (iv) What is the smallest significance level a for which we can reject Hop = 0.8 in favor of H₁ p < 0.8?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:Exercise 3
In a political campaign, one candidate has a poll taken at random from the voting
population. The results of poll are that 301 out of 400 voters favor the candidate. Let p be
the fraction of the voting population that favors the candidate.
(i) Test Ho: p = 0.8 against H₁ p < 0.8 at significance level a = 0.05
(ii) Test Ho: p
0.8 against H₁ p < 0.8 at significance level a = 0.01.
(iii) Compute the associated p-value.
(iv) What is the smallest significance level a for which we can reject Ho: p= 0.8 in favor
of H₁ p < 0.8?
=
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