A fitness trainer is interested in investigating whether ethnicity and the first

Question

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.

What can be concluded at the 0.05 level of significance?

(Links to an external site.)Links to an external site.

The p-value is:

p-Value =                            [ Select ]                       ["0.281", "0.011", "0.017", "0.003"]          

Conclusion:

                           [ Select ]                       ["There is insufficient evidence to support the claim that ethnicity and initial exercise type are dependent.", "There is sufficient evidence to support the claim that ethnicity and initial exercise type are dependent."]

Cardio Weight Machines Free Weights White 87 52 55 Hispanic 41 45 17 Black 36 19 11 Other 28 16 7

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var8
Columns: None

Chi-Square test:

Hencem

p - Value = 0.011

Conclusion: There is sufficient evidence to support the claim that ethnicity and initial exercise type are dependent.

Cardio Weight Machines Free Weights Total White 87 52 55 194 Hispanic 41 45 17 103 Black 36 19 11 66 Other 28 16 7 51 Total 192 132 90 414

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