Question

In: Statistics and Probability

A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members...

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?

Cardio Weight Machines Free Weights
White 87 52 55
Hispanic 41 20 17
Black 36 19 11
Other 28 16 7

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Hint (Links to an external site.)

Textbook Pages (Links to an external site.)

H0: Ethnicity and Exercise Activity are independent.

H1:  Ethnicity and Exercise Activity are dependent.

The p-value is:

p-Value = ["0.015", "0.84", "0.042", "0.27"]      

Conclusion:

["There is insufficient evidence to make a conclusion about whether or not ethnicity and initial exercise type are independent."

["There is statistically significant evidence to support the claim that ethnicity and initial exercise type are dependent."]      

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