Use the two-proportions z-test to perform the required hypothesis test. Assume that independent simple random samples have been selected from the two populations. A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 recognized the product while 196 out of 614 Californians recognized the product. At the 5% significance level, do the data provide sufficient evidence to conclude that the recognition rate in New York differs from the recognition rate in California?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Use the two-proportions z-test to perform the required hypothesis test. Assume that independent simple random samples have been selected from the two populations.
 
A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 recognized the product while 196 out of 614 Californians recognized the product. At the 5% significance level, do the data provide sufficient evidence to conclude that the recognition rate in New York differs from the recognition rate in California?
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