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.)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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.)
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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