In a survey of 400 likely voters, 214 responded that they would vote for the incumbent and 186 responded that they would vote for the challenger. Let p denote the fraction of all likely voters who preferred the incumbent at the time of the survey, and let p be the fraction of survey respondents who preferred the incumbent. Using the survey results, the estimated value of p is 0.5350. (Round your response to four decimal places.) Using p(1 - p)/n as the estimator of the variance of p, the standard error of the estimator is 0.0249. (Round your response to four decimal places.) The p-value for the test Ho: p = 0.5 versus H₁: p 0.5 is 0.162. (Round your response to three decimal places.)
In a survey of 400 likely voters, 214 responded that they would vote for the incumbent and 186 responded that they would vote for the challenger. Let p denote the fraction of all likely voters who preferred the incumbent at the time of the survey, and let p be the fraction of survey respondents who preferred the incumbent. Using the survey results, the estimated value of p is 0.5350. (Round your response to four decimal places.) Using p(1 - p)/n as the estimator of the variance of p, the standard error of the estimator is 0.0249. (Round your response to four decimal places.) The p-value for the test Ho: p = 0.5 versus H₁: p 0.5 is 0.162. (Round your response to three decimal places.)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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please help me answer this question. 0.162 is incorrect
![In a survey of 400 likely voters, 214 responded that they would vote for the incumbent and 186 responded that
they would vote for the challenger. Let p denote the fraction of all likely voters who preferred the incumbent at
the time of the survey, and let p be the fraction of survey respondents who preferred the incumbent.
Using the survey results, the estimated value of p is 0.5350. (Round your response to four decimal places.)
Using p(1 - p)/n as the estimator of the variance of p, the standard error of the estimator is 0.0249. (Round
your response to four decimal places.)
The p-value for the test Ho: p = 0.5 versus H₁: p 0.5 is 0.162. (Round your response to three decimal
places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fc0ee15-0f91-464a-9c89-ff2e773a521f%2Fd44e0e96-c1e8-436b-9c2c-49fd79c73dc6%2Fel5u6h_processed.png&w=3840&q=75)
Transcribed Image Text:In a survey of 400 likely voters, 214 responded that they would vote for the incumbent and 186 responded that
they would vote for the challenger. Let p denote the fraction of all likely voters who preferred the incumbent at
the time of the survey, and let p be the fraction of survey respondents who preferred the incumbent.
Using the survey results, the estimated value of p is 0.5350. (Round your response to four decimal places.)
Using p(1 - p)/n as the estimator of the variance of p, the standard error of the estimator is 0.0249. (Round
your response to four decimal places.)
The p-value for the test Ho: p = 0.5 versus H₁: p 0.5 is 0.162. (Round your response to three decimal
places.)
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