A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey. Frequencies of Religions and Sneakers Nike Adidas Other Protestant 75 100 91 Catholic 70 69 96 Jewish 17 16 39 Other 67 90 97 What can be concluded at the a = 0.05 significance level?

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A researcher is interested in investigating whether religious affiliation and the brand of sneakers that
people wear are associated. The table below shows the results of a survey.
Frequencies of Religions and Sneakers
Adidas
100
Nike
Other
Protestant
Catholic
Jewish
Other
75
91
70
69
96
17
16
39
67
90
97
What can be concluded at the a = 0.05 significance level?
a. What is the correct statistical test to use?
O Independence
O Paired t-test
Goodness-of-Fit
Homogeneity
b. What are the null and alternative hypotheses?
Ho:
Sneaker brand and religious affiliation are dependent.
Sneaker brand and religious affiliation are independent.
The distribution of sneaker brand is the same for each religion.
The distribution of sneaker brand is not the same for each religion.
H1:
Sneaker brand and religious affiliation are independent.
O The distribution of sneaker brand is the same for each religion.
Sneaker brand and religious affiliation are dependent.
The distribution of sneaker brand is not the same for each religion.
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
accept the null
reject the null
fail to reject the null
g. Thus, the final conclusion is...
There is insufficient evidence to conclude that sneaker brand and religious affiliation are
dependent.
O There is sufficient evidence to conclude that sneaker brand and religious affiliation are
independent.
O There is sufficient evidence to conclude that the distribution of sneaker brand is not the
same for each religion.
There is insufficient evidence to conclude that the distribution of sneaker brand is not the
same for each religion.
There is sufficient evidence to conclude that sneaker brand and religious affiliation are
dependent.
Transcribed Image Text:A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey. Frequencies of Religions and Sneakers Adidas 100 Nike Other Protestant Catholic Jewish Other 75 91 70 69 96 17 16 39 67 90 97 What can be concluded at the a = 0.05 significance level? a. What is the correct statistical test to use? O Independence O Paired t-test Goodness-of-Fit Homogeneity b. What are the null and alternative hypotheses? Ho: Sneaker brand and religious affiliation are dependent. Sneaker brand and religious affiliation are independent. The distribution of sneaker brand is the same for each religion. The distribution of sneaker brand is not the same for each religion. H1: Sneaker brand and religious affiliation are independent. O The distribution of sneaker brand is the same for each religion. Sneaker brand and religious affiliation are dependent. The distribution of sneaker brand is not the same for each religion. 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 accept the null reject the null fail to reject the null g. Thus, the final conclusion is... There is insufficient evidence to conclude that sneaker brand and religious affiliation are dependent. O There is sufficient evidence to conclude that sneaker brand and religious affiliation are independent. O There is sufficient evidence to conclude that the distribution of sneaker brand is not the same for each religion. There is insufficient evidence to conclude that the distribution of sneaker brand is not the same for each religion. There is sufficient evidence to conclude that sneaker brand and religious affiliation are dependent.
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