Ha : p> 0. 5 where p = the true proportion of voters that will vote for him. Of the 100 voters that ne surveyed, 52 said that they will vote for him. When the candidate performed a significance test and obtained a P-value of 0.0856. What is the meaning of this P- value in context? Assuming the proportion of voters that will vote for him is 0.5, there is a probability of 0.0856 of getting a sample proportion of 0.52 or more by chance alone in a random sample of 100 voters. Assuming the proportion of voters that will vote for him is greater than 0.5, there is a probability of 0.0856 of getting a sample proportion of 0.52 or more by chance alone in a random sample of 100 voters. There is a probability of 0.0856 that he will win the election. Given that he wins the election there is a probability of 0.0856 that the sample correctly predicted the win.

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Chapter1: Combinatorial Analysis
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A candidate for mayor in an upcoming election was wondering if the proportion of
voters that support him is more than 0.5. The candidate selected a random sample of
100 voters, asked them if he could count on their vote on Election Day, and tested
the hypotheses listed here:
Но : р— 0.5
Ha : p> 0. 5
where p = the true proportion of voters that will vote for him. Of the 100 voters that
he surveyed, 52 said that they will vote for him. When the candidate performed a
significance test and obtained a P-value of 0.0856. What is the meaning of this P-
value in context?
Assuming the proportion of voters that will vote for him is 0.5, there is a
probability of 0.0856 of getting a sample proportion of 0.52 or more by chance
alone in a random sample of 100 voters.
Assuming the proportion of voters that will vote for him is greater than 0.5,
there is a probability of 0.0856 of getting a sample proportion of 0.52 or more
by chance alone in a random sample of 100 voters.
There is a probability of 0.0856 that he will win the election.
Given that he wins the election there is a probability of 0.0856 that the sample
correctly predicted the win.
Transcribed Image Text:A candidate for mayor in an upcoming election was wondering if the proportion of voters that support him is more than 0.5. The candidate selected a random sample of 100 voters, asked them if he could count on their vote on Election Day, and tested the hypotheses listed here: Но : р— 0.5 Ha : p> 0. 5 where p = the true proportion of voters that will vote for him. Of the 100 voters that he surveyed, 52 said that they will vote for him. When the candidate performed a significance test and obtained a P-value of 0.0856. What is the meaning of this P- value in context? Assuming the proportion of voters that will vote for him is 0.5, there is a probability of 0.0856 of getting a sample proportion of 0.52 or more by chance alone in a random sample of 100 voters. Assuming the proportion of voters that will vote for him is greater than 0.5, there is a probability of 0.0856 of getting a sample proportion of 0.52 or more by chance alone in a random sample of 100 voters. There is a probability of 0.0856 that he will win the election. Given that he wins the election there is a probability of 0.0856 that the sample correctly predicted the win.
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