2.

2. (9 points) A fitness trainer would like to investigate whether the choice of exercise equipment is dependent upon sex. She randomly selected 255 male members and 277 female members from her large gym. The records from the sample indicated the following equipment usage. (Data set: Cardio) Type of Cardio Machine Treadmill Elliptical Bike Total Male 120 60 75 255 Sex Female 100 95 82 277 Total 220 155 157 532 a) [1] Name a graph that can be used to compare the frequency of using different types of cardio machines among female and male members. b) [1+1+1] Calculate the contribution to the test statistic and the expected frequency for the cell "Male and Elliptical". Show details of your calculation. Explain what the value of the expected frequency means in the context of the problem. i) Expected Frequency ii) Interpretation of the expected frequency value iii) Contribution to the Test Statisticc) [5] At a 5% level of significance, what is the conclusion of the fitness trainer? Be sure to include the test statistic, make the decision according to p-value or rejection region approach, and provide your conclusion