'We have conducted a two-sided Z-test to assess the null hypothesis that the mean con- ents of soda cans is 330ml. The p-value of the test is 0.74, meaning that the probability of the null hypothesis statement being correct is 74%. As the p-value is much greater han the specified 5% type II error rate, it follows that the true mean soda can contents s indeed 330ml."

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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1. Read the following statement:
"We have conducted a two-sided Z-test to assess the null hypothesis that the mean con-
tents of soda cans is 330ml. The p-value of the test is 0.74, meaning that the probability
of the null hypothesis statement being correct is 74%. As the p-value is much greater
than the specified 5% type II error rate, it follows that the true mean soda can contents
is indeed 330ml."
There are a number of inaccuracies in how the author has reported the findings of their
statistical test. Identify and briefly explain the mistakes.
Transcribed Image Text:1. Read the following statement: "We have conducted a two-sided Z-test to assess the null hypothesis that the mean con- tents of soda cans is 330ml. The p-value of the test is 0.74, meaning that the probability of the null hypothesis statement being correct is 74%. As the p-value is much greater than the specified 5% type II error rate, it follows that the true mean soda can contents is indeed 330ml." There are a number of inaccuracies in how the author has reported the findings of their statistical test. Identify and briefly explain the mistakes.
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