A large nationwide survey showed that 65% of high school students like Coca-Cola better than Pepsi. Dr. Johnson conducted a small survey of randomly selected high school students in Michigan and found that 180 of the 300 surveyed students liked Coca-Cola better than Pepsi. Test if the proportion of students that prefer Coca-Cola over Pepsi is significantly different than the percentage indicated by the nationwide survey with a significance level of 5%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 24PPS
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A large nationwide survey showed that 65% of high school students like Coca-Cola better than Pepsi. Dr.
Johnson conducted a small survey of randomly selected high school students in Michigan and found that 180 of
the 300 surveyed students liked Coca-Cola better than Pepsi. Test if the proportion of students that prefer
Coca-Cola over Pepsi is significantly different than the percentage indicated by the nationwide survey with a
significance level of 5%.

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