Answered: A campaign manager for a political…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A campaign manager for a political candidate released a series of advertisements criticizing the opposing candidate in an upcoming election. The opposing candidate previously had the support of 45%45%45, percent of voters, so the manager wants to test �0:�=0.45H0:p=0.45H, start subscript, 0, end subscript, colon, p, equals, 0, point, 45 versus �a:�<0.45Ha:p<0.45H, start subscript, start text, a, end text, end subscript, colon, p, is less than, 0, point, 45, where �pp is the proportion of voters that support the opposing candidate.

After running the advertisements, the campaign manager obtained a random sample of 500500500 voters and found that 220220220 of those sampled supported the opposing candidate. The resulting test statistic was �≈−0.45z≈−0.45z, approximately equals, minus, 0, point, 45 and the P-value was approximately 0.330.330, point, 33.

Assuming the conditions for inference were met, what is an appropriate conclusion at the �=0.05α=0.05alpha, equals, 0, point, 05 significance level?

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