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 SingleFamilyCoupleDog8510095Cat917471Various505149None635563 What can be concluded at the αα = 0.05 significance level?What is the correct statistical test to use?Goodness-of-FitPaired t-testIndependenceHomogeneityWhat are the null and alternative hypotheses?H0:H0: 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.H1:H1: Pet ownership and living situation are dependent.The distribution of pets is the same for each living situation.Pet ownership and living situation are independent.The distribution of pets is not 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 less than (or equal to) greater than αα Based on this, we shouldreject the nullaccept the nullfail to reject the nullThus, the final conclusion is...There is sufficient evidence to conclude that pet ownership and living situation are dependent.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 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 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	85	100	95
Cat	91	74	71
Various	50	51	49
None	63	55	63

What can be concluded at the αα = 0.05 significance level?

What is the correct statistical test to use?
- Goodness-of-Fit
- Paired t-test
- Independence
- Homogeneity
What are the null and alternative hypotheses?
H0:H0:
- 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.
H1:H1:
- Pet ownership and living situation are dependent.
- The distribution of pets is the same for each living situation.
- Pet ownership and living situation are independent.
- The distribution of pets is not 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 less than (or equal to) greater than αα
Based on this, we should
- reject the null
- accept the null
- fail to reject the null
Thus, the final conclusion is...
- There is sufficient evidence to conclude that pet ownership and living situation are dependent.
- 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 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 independent.

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