d. The p-value for this sample=0.0052 x (Please show your answer to four decimal places.)

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11.4.1 Need help with Part D

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 84
Catholic
61
20
63
80
51
Jewish
Other
What can be concluded at the = 0.01 significance level?
15
66
Paired t-test
Goodness-of-Fit
Independence
H₁:
120
88
a. What is the correct statistical test to use?
O Homogeneity
25
94
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.
Sneaker brand and religious affiliation are dependent.
The distribution of sneaker brand is the same for each religion.
Sneaker brand and religious affiliation are independent.
O The distribution of sneaker brand is not the same for each religion.
c. The test-statistic for this data = 1.411
d. The p-value for this sample = 0.0052
(Please show your answer to three decimal places.)
X (Please show your answer to four decimal places.)
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 Nike Adidas Other Protestant 84 Catholic 61 20 63 80 51 Jewish Other What can be concluded at the = 0.01 significance level? 15 66 Paired t-test Goodness-of-Fit Independence H₁: 120 88 a. What is the correct statistical test to use? O Homogeneity 25 94 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. Sneaker brand and religious affiliation are dependent. The distribution of sneaker brand is the same for each religion. Sneaker brand and religious affiliation are independent. O The distribution of sneaker brand is not the same for each religion. c. The test-statistic for this data = 1.411 d. The p-value for this sample = 0.0052 (Please show your answer to three decimal places.) X (Please show your answer to four decimal places.)
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