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 Cardio Weight Machines Free Weights White 97 89 100 Hispanic 96 87 97 Black 59 67 61 Other 58 42 67 What can be concluded at the a = 0.01 significance level? a. What is the correct statistical test to use? Independence O Goodness-of-Fit O Homogeneity O Paired t-test b. What are the null and alternative hypotheses? Ho: O The distribution of first exercise activity is not the same for each ethnicity. O Ethnicity and first exercise activity are independent. O The distribution of first exercise activity is the same for each ethnicity. O Ethnicity and first exercise activity are dependent. H: O The distribution of first exercise activity is not the same for each ethnicity. O Ethnicity and first exercise activity are independent. Ethnicity and first exercise activity are dependent. O The distribution of first exercise activity is the same for each ethnicity. c. The test-statiatic 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.)

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I answered all the ones I knew how to I just need help with C and D. Strictly homework!!! Thank you so much! 
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
Cardio
Weight Machines
Free Weights
White
97
89
100
Hispanic
96
87
97
Black
59
67
61
Other
58
42
67
What can be concluded at the a = 0.01 significance level?
a. What is the correct statistical test to use?
O Independence
O Goodness-of-Fit
O Homogeneity
O Paired t-test
b. What are the null and alternative hypotheses?
O The distribution of first exercise activity is not the same for each ethnicity.
O Ethnicity and first exercise activity are independent.
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.
Ethnicity and first exercise activity are dependent.
O The distribution of first exercise activity is the zame for each ethnicity.
c. The test-statistic for this data =
(Please show your answer to three decimal places.)
d. The p-value for this sample =
(Please showyour answer to four decimal places.)
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 Cardio Weight Machines Free Weights White 97 89 100 Hispanic 96 87 97 Black 59 67 61 Other 58 42 67 What can be concluded at the a = 0.01 significance level? a. What is the correct statistical test to use? O Independence O Goodness-of-Fit O Homogeneity O Paired t-test b. What are the null and alternative hypotheses? O The distribution of first exercise activity is not the same for each ethnicity. O Ethnicity and first exercise activity are independent. 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. Ethnicity and first exercise activity are dependent. O The distribution of first exercise activity is the zame for each ethnicity. c. The test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample = (Please showyour answer to four decimal places.)
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