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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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.