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Name: Suppose we would like to test the claim that more than 75% ( > 75%) of
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Description: Suppose we would like to test the claim that more than 75% ( > 75%) of Canadians are willing to receive a vaccine for COVID-19 once a vaccine is found. (We are assuming that the threshold for herd immunity is 75%.) We randomly select n = 1500 Canadia

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Suppose we would like to test the claim that more than 75% ( > 75%) of Canadians are willing to receive a vaccine for COVID-19 once a vaccine is found. (We are assuming that the threshold for herd immunity is 75%.) We randomly select n = 1500 Canadians and find that x = 1175 of these individuals say “yes”. Calculate the P-value for this sample. Round to four decimal places.

Expert Solution

Step 1

Given:

Step 2

The null and alternative hypotheses are:

The above alternative hypothesis suggests that the test is right-sided.

The P-value for the above right-sided proportion test can be calculated by using the formula given below:

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