Question 10 of 10 (1 point) | Question Attempt: 1 of 1
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Among college students, the proportion $p$ who say they're interested in their congressional district's election results has
traditionally been 65%. 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 65%. A poll is commissioned, and 180
out of a random sample of 265 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 level of significance?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis $H_0$ and the alternative hypothesis $H_1$.
$H_0$:
$H_1$:
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the $p$-value. (Round to three or more decimal places.)
(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 65%?
Yes No
