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?
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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4AGP
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Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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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