The Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age. It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level. (a) How large the size of a sample needs to be if we want to a 90% confidence level with a margin of error no more than 1.5%? (b) Conduct a hypothesis testing of whether over 60% of the population thought that licensed drivers should be required to retake their road test once they turn 65? That is, test the hypotheses H0: p = 0.6 and Ha: p > 0.6, where p is proportion of American adults that thought licensed drivers should be required to retake their road test once they turn 65. Please report the test statistic and the P-value, and make a conclusion using a 0.01 significance level.
The Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age. It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level.
(a) How large the size of a sample needs to be if we want to a 90% confidence level with a margin of error no more than 1.5%?
(b) Conduct a hypothesis testing of whether over 60% of the population thought that licensed drivers should be required to retake their road test once they turn 65? That is, test the hypotheses H0: p = 0.6 and Ha: p > 0.6, where p is proportion of American adults that thought licensed drivers should be required to retake their road test once they turn 65. Please report the test statistic and the P-value, and make a conclusion using a 0.01 significance level.
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