A researcher is interested in investigating whether living situation and pet ownership are dependent. The table below shows the results of a survey.Frequencies of Living Situation and Pet SingleFamilyCoupleDog878195Cat11870100Various344657None605746 What can be concluded at the αα = 0.10 significance level?What is the correct statistical test to use?IndependenceGoodness-of-FitPaired t-testHomogeneityWhat are the null and alternative hypotheses?H0:H0: The distribution of pets is not the same for each living situation.Pet ownership and living situation are independent.Pet ownership and living situation are dependent.The distribution of pets is the same for each living situation.H1:H1: Pet ownership and living situation are independent.The distribution of pets is not the same for each living situation.Pet ownership and living situation are dependent.The distribution of pets is the same for each living situation.The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is Select an answer greater than less than (or equal to) αα Based on this, we shouldfail to reject the nullreject the nullaccept the nullThus, the final conclusion is...There is sufficient evidence to conclude that the distribution of pets is not the same for each living situation.There is insufficient evidence to conclude that pet ownership and living situation are dependent.There is sufficient evidence to conclude that pet ownership and living situation are dependent.There is insufficient evidence to conclude that the distribution of pets is not the same for each living situation.There is sufficient evidence to conclude that pet ownership and living situation are independent.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher is interested in investigating whether living situation and pet ownership are dependent. The table below shows the results of a survey.

Frequencies of Living Situation and Pet

	Single	Family	Couple
Dog	87	81	95
Cat	118	70	100
Various	34	46	57
None	60	57	46

What can be concluded at the αα = 0.10 significance level?

What is the correct statistical test to use?
- Independence
- Goodness-of-Fit
- Paired t-test
- Homogeneity
What are the null and alternative hypotheses?
H0:H0:
- The distribution of pets is not the same for each living situation.
- Pet ownership and living situation are independent.
- Pet ownership and living situation are dependent.
- The distribution of pets is the same for each living situation.
H1:H1:
- Pet ownership and living situation are independent.
- The distribution of pets is not the same for each living situation.
- Pet ownership and living situation are dependent.
- The distribution of pets is the same for each living situation.
The test-statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
The p-value is Select an answer greater than less than (or equal to) αα
Based on this, we should
- fail to reject the null
- reject the null
- accept the null
Thus, the final conclusion is...
- There is sufficient evidence to conclude that the distribution of pets is not the same for each living situation.
- There is insufficient evidence to conclude that pet ownership and living situation are dependent.
- There is sufficient evidence to conclude that pet ownership and living situation are dependent.
- There is insufficient evidence to conclude that the distribution of pets is not the same for each living situation.
- There is sufficient evidence to conclude that pet ownership and living situation are independent.

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