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Quertion 7 of to (th paints) I eucston Antempt: of 1
Time Romaining: 20025
Nathan
\( =1 \)
\( -2 \)
\( =3 \)
\( =4 \)
\( =5 \)
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Espa/tor
Among college students, the proportion \( p \) who say they're interested in their congressional district's election results has traditionally been \( 75 \% \). After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than \( 75 \% \). A poll is commissioned, and 208 out of a random sample of 275 college students say they're interested in their district's election results. is there enough evidence to support the political scientist's claim at the 0.05 ievel of significance?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimul places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis \( H_{0} \) and the alternative hypothesis \( H_{1} \). .
\[
\begin{array}{l}
H_{0}: \square \\
H_{1}: \square
\end{array}
\]
(b) Determine the type of test statistic to use.
(Choose one) \( \boldsymbol{\nabla} \)
(c) Find the value of the test statistic. (Round to three or more decimal places.).
\( \square \)
(d) Find the p-value. (Round to three or more decimal places.)
\( \square \)
(e) Is there enough evidence to support the political scientist's claim that the proportion of college students who say they're interested in their district's election results is more than \( 75 \% \) ?
Yes ONo
\begin{tabular}{ccc}
\( \mu \) & \( \sigma \) & \( p \) \\
\( \bar{x} \) & \( s \) & \( \hat{p} \) \\
\( \square \) & \( \square_{\square} \) & \( \frac{\square}{\square} \) \\
\( \square-\square \) & \( \square \leqslant \square \) & \( \square \geq \square \) \\
\( \square \times \square \) & \( \square<\square \) & \( \square>\square \) \\
\( \times \) & & 5
\end{tabular}
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