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 > .
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 Ha: p > .
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