researcher wished to estimate the difference between the proportion of users of two shampoos who are satisfied with the product. In a sample of 400 users of Shampoo A taken by this researcher, 78 said they are satisfied. In another sample of 500 users of Shampoo B taken by the same researcher, 92 said they were satisfied. a) Construct a 90% confidence interval for the true difference between the two population proportions. b) Based on your answer in (a), what would be your response at "=0.1 to the claim that there is no difference in customer satisfaction between the two shampoos?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A researcher wished to estimate the difference between the proportion of users of two shampoos who are satisfied with the product. In a sample of 400 users of Shampoo A taken by this researcher, 78 said they are satisfied. In another sample of 500 users of Shampoo B taken by the same researcher, 92 said they were satisfied.
a) Construct a 90% confidence interval for the true difference between the two population proportions.
b) Based on your answer in (a), what would be your response at "=0.1 to the claim that there is no difference in customer satisfaction between the two shampoos?

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