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Math Help - I have an exam and I have missed the class when prof. taught this....

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    I have an exam and I have missed the class when prof. taught this....

    In a survey of 400 likely voters, 215 responded that they would vote for the incumbent and 185 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.
    a. Use the survey results to estimate p.
    b. Use the estimator of the variance of P^, p^(1-P^)/n, to calculate the standard error of your estimator.
    c. What is the p-value for the test H0: p=0.5 vs H1: p > 0.5?
    d. What is the p-value for the test H0: p=0.5 vs H1: p not equal to 0.5?
    e. Why do the result from c and d differ?
    f. Explain if the survey contained statistically significant evidence that the incumbent was ahead of the challenger at the time of the survey?

    Please help.
    Thanks
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  2. #2
    MHF Contributor harish21's Avatar
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    Re: I have an exam and I have missed the class when prof. taught this....

    Quote Originally Posted by homalina View Post
    In a survey of 400 likely voters, 215 responded that they would vote for the incumbent and 185 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.
    a. Use the survey results to estimate p.
    b. Use the estimator of the variance of P^, p^(1-P^)/n, to calculate the standard error of your estimator.
    c. What is the p-value for the test H0: p=0.5 vs H1: p > 0.5?
    d. What is the p-value for the test H0: p=0.5 vs H1: p not equal to 0.5?
    e. Why do the result from c and d differ?
    f. Explain if the survey contained statistically significant evidence that the incumbent was ahead of the challenger at the time of the survey?

    Please help.
    Thanks
    a)  \hat{p}=\dfrac{215}{400}
    b} use the given formula to finnd the variance of phat
    for c and d, you have to compute the test statistics first..If you have missed the lecture, you should probably look at your notes/book before working on c and d
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