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. It can be difficult to detect such a small difference, such as from 0.97 to 0.98, even if the difference exists. What can be done to increase the power of this test to reject 0.97 if 0.98 is true? Check all that apply.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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.

It can be difficult to detect such a small difference, such as from 0.97 to 0.98, even if the difference exists.

What can be done to increase the power of this test to reject 0.97 if 0.98 is true? Check all that apply.

According to shopper data, 97% of households purchase What can be done to increase the power of this test to
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.
reject 0.97 if 0.98 is true? Check all that apply.
increase a
decrease a
increase n
decrease n
It can be difficult to detect such a small difference, such
as from 0.97 to 0.98, even if the difference exists.
discard first results and select a separate random
sample of 500 households
Transcribed Image Text:According to shopper data, 97% of households purchase What can be done to increase the power of this test to 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. reject 0.97 if 0.98 is true? Check all that apply. increase a decrease a increase n decrease n It can be difficult to detect such a small difference, such as from 0.97 to 0.98, even if the difference exists. discard first results and select a separate random sample of 500 households
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