'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."

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning