Answered: Among college students, the proportion…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 5E

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Question

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 185 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 0.10 level of significance?

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places.

(a)	State the null hypothesis H0 and the alternative hypothesis H1.
H0:
H1:
(b)	Determine the type of test statistic to use.
(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%?