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 100 Couple Dog Cat 98 92 98 70 98 Various 48 43 53 None 58 46 48 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? O Goodness-of-Fit O Paired t-test O Homogeneity O Independence b. What are the null and alternative hypotheses? Ho: O The distribution of pets is not the same for each living situation. O The distribution of pets is the same for each living situation. O Pet ownership and living situation are independent. O Pet ownership and living situation are dependent. O Pet ownership and living situation are independent. O Pet ownership and living situation are dependent. O The distribution of pets is the same for each living situation. O The distribution of pets is not the same for each living situation.

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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
98
Single
100
Couple
Dog
Cat
92
98
70
98
Various
48
43
53
None
58
46
48
What can be concluded at the a = 0.10 significance level?
a. What is the correct statistical test to use?
OGoodness-of-Fit
O Paired t-test
O Homogeneity
O Independence
b. What are the null and alternative hypotheses?
Ha:
The distribution of pets is not the same for each living situation.
O The distribution of pets is the same for each living situation.
O Pet ownership and living situation are independent.
O Pet ownership and living situation are dependent.
Hị:
O Pet ownership and living situation are independent.
O Pet ownership and living situation are dependent.
O The distribution of pets is the same for each living situation.
O 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 98 Single 100 Couple Dog Cat 92 98 70 98 Various 48 43 53 None 58 46 48 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? OGoodness-of-Fit O Paired t-test O Homogeneity O Independence b. What are the null and alternative hypotheses? Ha: The distribution of pets is not the same for each living situation. O The distribution of pets is the same for each living situation. O Pet ownership and living situation are independent. O Pet ownership and living situation are dependent. Hị: O Pet ownership and living situation are independent. O Pet ownership and living situation are dependent. O The distribution of pets is the same for each living situation. O The distribution of pets is not the same for each living situation.
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
O fail to reject the null
O reject the null
O accept the null
g. Thus, the final conclusion is...
O There is insufficient evidence to conclude that the distribution of pets is not the same for each
living situation.
O There is sufficient evidence to conclude that pet ownership and living situation are dependent.
O There is sufficient evidence to conclude that pet ownership and living situation are
independent.
O There is sufficient evidence to conclude that the distribution of pets is not the same for each
living situation.
O There is insufficient evidence to conclude that pet ownership and living situation are
dependent.
Transcribed Image Text: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 O fail to reject the null O reject the null O accept the null g. Thus, the final conclusion is... O There is insufficient evidence to conclude that the distribution of pets is not the same for each living situation. O There is sufficient evidence to conclude that pet ownership and living situation are dependent. O There is sufficient evidence to conclude that pet ownership and living situation are independent. O There is sufficient evidence to conclude that the distribution of pets is not the same for each living situation. O There is insufficient evidence to conclude that pet ownership and living situation are dependent.
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