In: Statistics and Probability
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 |
Helpful Video (Links to an external site.)
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."]