**Educational Content: Hypothesis Testing in Marketing**In a recent marketing campaign, 100 drinkers of either Diet Coke or Diet Pepsi participated in a blind taste test to determine their preferred drink. A Pepsi television commercial claims that "in recent blind taste tests, more than one half of the surveyed preferred Diet Pepsi over Diet Coke." Out of these 100 participants, 42 chose Diet Pepsi. We will test the hypothesis, using a significance level (\(\alpha\)) of 0.05, that more than half of all participants would select Diet Pepsi in a blind taste test.**Tasks:**(a) Calculate the test statistic.(b) Determine the critical z score.**Note:** Use statistical methods to evaluate whether the claim made in the commercial holds true based on the sample data provided.

Given data number of success , x= 42.0 sample size, n = 100 population…

Answered: (a) the test statistic (b) the critical…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. This survey found that 32.8% of the households sampled owned a pet cat. Is this number a parameter or a statistic? Calculate the Z-score of this sample proportion (0.328).
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(a) the test statistic (b) the critical z score