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 Couple 87 73 Single 96 Family 80 Dog Cat Various 94 39 83 57 44 None 51 46 34 What can be concluded at the a- 0.05 significance level?

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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
Family
Single
Couple
Dog
96
80
87
Cat
Various
94
83
57
73
39
44
None
51
46
34
What can be concluded at the a = 0.05 significance level?
a. What is the correct statistical test to use?
Homogeneity
Goodness-of-Fit
Paired t-test
Independence
b. What are the null and alternative hypotheses?
Ho:
Pet ownership and living situation are independent.
The distribution of pets is not the same for each living situation.
The distribution of pets is the same for each living situation.
Pet ownership and living situation are dependent.
H1:
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.
Pet ownership and living situation are dependent.
c. The test-statistic for this data =
(Please show your answer to three decimal places.)
d. The p-value for this sample =
(Please show your answer to four decimal places.)
e. The p-value is Select an answer
f. Based on this, we should
reject the null
fail to reject the null
accept the null
g. Thus, the final conclusion is...
O There is sufficient evidence to conclude that pet ownership and living situation are
dependent.
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.
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 the distribution of pets is not the same for
each living situation.
Transcribed Image Text: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 Family Single Couple Dog 96 80 87 Cat Various 94 83 57 73 39 44 None 51 46 34 What can be concluded at the a = 0.05 significance level? a. What is the correct statistical test to use? Homogeneity Goodness-of-Fit Paired t-test Independence b. What are the null and alternative hypotheses? Ho: Pet ownership and living situation are independent. The distribution of pets is not the same for each living situation. The distribution of pets is the same for each living situation. Pet ownership and living situation are dependent. H1: 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. Pet ownership and living situation are dependent. c. The test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample = (Please show your answer to four decimal places.) e. The p-value is Select an answer f. Based on this, we should reject the null fail to reject the null accept the null g. Thus, the final conclusion is... O There is sufficient evidence to conclude that pet ownership and living situation are dependent. 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. 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 the distribution of pets is not the same for each living situation.
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