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 \( H_a: p > \_\_\_\_ \).

The power of a hypothesis test is the probability of correctly rejecting a False Null Hypothesis.…

Answered: According to shopper data, 97% of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

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 H_a: p > .