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 216 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 0.10 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. b. Find the value of the test statistic. (Round to three or more decimal places.) c. Find the critical value. (Round to three or more decimal places.) d. 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%?

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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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 216 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 0.10 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.

b. Find the value of the test statistic. (Round to three or more decimal places.)

c. Find the critical value. (Round to three or more decimal places.)

d. 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%?

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