Fiona is a manufacturer of barbecue sauce. She wants to determine the proportion of customers who prefer her brand over that of her major competitors. She sampled 100 consumers of barbecue sauce and found that 68 prefer her brand. At the 1% significance level, is there evidence that more than 60% of consumers of barbecue sauce prefer her brand? Find the p-value of the test. If the true proportion of customers who prefer her brand is 70%, what is the probability that Fiona will not detect this change?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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SELF CHECK
Fiona is a manufacturer of barbecue sauce. She wants to
determine the proportion of customers who prefer her
brand over that of her major competitors. She sampled
100 consumers of barbecue sauce and found that 68 prefer
her brand. At the 1% significance level, is there evidence
that more than 60% of consumers of barbecue sauce
prefer her brand? Find the p-value of the test. If the true
proportion of customers who prefer her brand is 70%,
what is the probability that Fiona will not detect this
change?
Transcribed Image Text:SELF CHECK Fiona is a manufacturer of barbecue sauce. She wants to determine the proportion of customers who prefer her brand over that of her major competitors. She sampled 100 consumers of barbecue sauce and found that 68 prefer her brand. At the 1% significance level, is there evidence that more than 60% of consumers of barbecue sauce prefer her brand? Find the p-value of the test. If the true proportion of customers who prefer her brand is 70%, what is the probability that Fiona will not detect this change?
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