MATLAB: An Introduction with Applications
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Author: Amos Gilat
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Transcribed Image Text:A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members engage in are
dependent. The table below shows the results of the trainer's observation of randomly selected members.
Frequencies of Ethnicity and Exercise Activity
Weight Machines
White
Hispanic
Black
Other
Cardio
84
84
68
48
98
97
51
70
O Homogeneity
O Independence
Free Weights
81
98
69
41
What can be concluded at the α = 0.05 significance level?
a. What is the correct statistical test to use?
O Goodness-of-Fit
Paired t-test
b. What are the null and alternative hypotheses?
Ho:
O Ethnicity and first exercise activity are dependent.
O Ethnicity and first exercise activity are independent.
O The distribution of first exercise activity is not the same for each ethnicity.
O The distribution of first exercise activity is the same for each ethnicity.
H₁:
O The distribution of first exercise activity is the same for each ethnicity.
O Ethnicity and first exercise activity are dependent.
O The distribution of first exercise activity is not the same for each ethnicity.
O Ethnicity and first exercise activity are independent.
![H₁
O The distribution of first exercise activity is the same for each ethnicity.
O Ethnicity and first exercise activity are dependent.
O The distribution of first exercise activity is not the same for each ethnicity.
O Ethnicity and first exercise activity are independent.
c. The test-statistic for this data =
d. The p-value for this sample=
e. The p-value is Select an answer
f. Based on this, we should
O accept the null
reject the null
O fail to reject the null
a
Hint: Helpful Video [+]
Textbook Pages
Help
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
g. Thus, the final conclusion is...
O There is sufficient evidence to conclude that ethnicity and first exercise activity are independent.
O There is insufficient evidence to conclude that ethnicity and first exercise activity are dependent.
O There is insufficient evidence to conclude that the distribution of first exercise activity is not the same for
each ethnicity.
O There is sufficient evidence to conclude that ethnicity and first exercise activity are dependent.
O There is sufficient evidence to conclude that the distribution of first exercise activity is not the same for
each ethnicity.](https://content.bartleby.com/qna-images/question/1544de8a-3c51-4377-8e8e-19302dc0da15/bb1d4be4-e5fb-4c39-8b89-b48aea4a7582/86xm38_processed.png)
Transcribed Image Text:H₁
O The distribution of first exercise activity is the same for each ethnicity.
O Ethnicity and first exercise activity are dependent.
O The distribution of first exercise activity is not the same for each ethnicity.
O Ethnicity and first exercise activity are independent.
c. The test-statistic for this data =
d. The p-value for this sample=
e. The p-value is Select an answer
f. Based on this, we should
O accept the null
reject the null
O fail to reject the null
a
Hint: Helpful Video [+]
Textbook Pages
Help
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
g. Thus, the final conclusion is...
O There is sufficient evidence to conclude that ethnicity and first exercise activity are independent.
O There is insufficient evidence to conclude that ethnicity and first exercise activity are dependent.
O There is insufficient evidence to conclude that the distribution of first exercise activity is not the same for
each ethnicity.
O There is sufficient evidence to conclude that ethnicity and first exercise activity are dependent.
O There is sufficient evidence to conclude that the distribution of first exercise activity is not the same for
each ethnicity.
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