(a) the test statistic (b) the critical z score

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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**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.
Transcribed Image Text:**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.
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