Answered: advertising tool, the company invites…

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 company that produces a particular brand of juice knows that about 30% of people select that brand if given a choice of all brands. To determine if a commercial would be an effective advertising tool, the company invites 100 people to view a 30-minute program that includes a commercial for the company’s juice. After the program, the participants are offered a choice of juice brands. In this trial, 36 of the 100 participants chose the company’s juice. When a significance test was performed to determine if the true proportion of people who watch the commercial and select the company’s juice exceeds 30%, the P-value was 0.0952. At the α = 0.05 significance level, what decision should the company make?

A. Because the P-value of 0.0952 > α = 0.05, the company has evidence that the true proportion of those who would select the company’s juice is larger than 30%.

B. Because the P-value of 0.0952 < 0.3, the company has evidence that the true proportion of those who would select the company’s juice is larger than 30%.

C. Because the P-value of 0.0952 > α = 0.05, the company has evidence that the true proportion of those who would select the company’s juice is not larger than 30%.

D. Because the P-value of 0.0952 > α = 0.05, the company does not have evidence that the true proportion of those who would select the company’s juice is larger than 30%.

E. Because the sample proportion of 36/100 is larger than the expected 30% of those who would select the company’s juice, the company should decide that the true proportion of those who would select the company’s juice is larger than 30%.

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