Researchers are investigating household-income level and whether the family owns their home or rents, in a particular city. They will consider the proportion of high-income households who own their home and the proportion of low-income households who own. They want to check whether the two categorical variables (income level and home-own-v.-rent) are related. Test at the 0.1 significance level.Table of number of households in each sub-category.DataOwnRenthigh-income5837low-income3150a) Identify the correct alternative hypothesis for this test.There is no relationship between household income level and home-ownership-v.-renting.Household income level varies much more than home-ownership-v.-renting proportions.Household income level and home-ownership-v.-renting are independent.There is a relationship between household income level and home-ownership-v.-renting.b) The χ2χ2test statistic value is: c) The P-value is:

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Description: Researchers are investigating household-income level and whether the family owns their home or rents, in a particular city. They will consider the proportion of high-income households who own their home and the proportion of low-income households who

Hypothesis testing Hypothesis testing is conducted for the parameters of the population like…

Answered: There is no relationship between…

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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Researchers are investigating household-income level and whether the family owns their home or rents, in a particular city. They will consider the proportion of high-income households who own their home and the proportion of low-income households who own. They want to check whether the two categorical variables (income level and home-own-v.-rent) are related. Test at the 0.1 significance level.

Table of number of households in each sub-category.

Data	Own	Rent
high-income	58	37
low-income	31	50

a) Identify the correct alternative hypothesis for this test.

There is no relationship between household income level and home-ownership-v.-renting.
Household income level varies much more than home-ownership-v.-renting proportions.
Household income level and home-ownership-v.-renting are independent.
There is a relationship between household income level and home-ownership-v.-renting.

b) The χ2χ2test statistic value is:

c) The P-value is:

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