According to shopper data, 97% of households purchase toilet paper. An analyst believes this is too low. To investigate, the analyst selects a random sample of 500 households and finds that 98% of them purchase toilet paper. We found that we do not have convincing evidence at the α = 0.05 level to conclude that the true proportion of all households that purchase toilet paper differs from 0.97. The power of this test to reject p = 0.97 if 0.98 is true is 0.21. Interpret the power of this test. If the true proportion of households that purchase toilet paper is p = , there is a  probability that we will find convincing evidence for Ha: p > .

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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According to shopper data, 97% of households purchase toilet paper. An analyst believes this is too low. To investigate, the analyst selects a random sample of 500 households and finds that 98% of them purchase toilet paper. We found that we do not have convincing evidence at the α = 0.05 level to conclude that the true proportion of all households that purchase toilet paper differs from 0.97.

The power of this test to reject p = 0.97 if 0.98 is true is 0.21. Interpret the power of this test.

If the true proportion of households that purchase toilet paper is p = , there is a  probability that we will find convincing evidence for Hap > .

According to shopper data, 97% of households purchase The power of this test to reject p= 0.97 if 0.98 is true is
toilet paper. An analyst believes this is too low. To
investigate, the analyst selects a random sample of 500
households and finds that 98% of them purchase toilet
paper. We found that we do not have convincing
evidence at the a = 0.05 level to conclude that the true
proportion of all households that purchase toilet paper
differs from 0.97.
0.21. Interpret the power of this test.
If the true proportion of households that purchase toilet
paper is p = |
we will find convincing evidence for Ha: p>|
,there is a
v probability that
Transcribed Image Text:According to shopper data, 97% of households purchase The power of this test to reject p= 0.97 if 0.98 is true is toilet paper. An analyst believes this is too low. To investigate, the analyst selects a random sample of 500 households and finds that 98% of them purchase toilet paper. We found that we do not have convincing evidence at the a = 0.05 level to conclude that the true proportion of all households that purchase toilet paper differs from 0.97. 0.21. Interpret the power of this test. If the true proportion of households that purchase toilet paper is p = | we will find convincing evidence for Ha: p>| ,there is a v probability that
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