Question

A team of researchers wanted to assess the effectiveness of the 4 components of a weight loss program by comparing the distribution of weight status across 4 different treatment groups. The data is summarized in the table below:

Intervention Component: Normal weight / Overweight / Obese

Control Group(n=100) 50 35 15

Calorie Counting(n=100) 70 20 10

Physical Activity(n=100) 73 15 12

Combination(n=100) 80 15 5

Is there a difference in weight status by intervention component? (Hint: Are intervention component and weight status independent?) Run the appropriate test at a 5% level of significance.

compute the test statistic and indicate the outcome:

1. 24.974
2. 0.428
3. 5.227
4. 11.73
5. Some other answer; indicate:

True or false: We DO NOT have statistically significant evidence at α=0.05 to show that intervention component and weight status are not independent.

1. True
2. False

Indicate the most accurate p-value associated with the above-mentioned conclusion:

1. p = not significant
2. p = 0.01
3. p = 0.005
4. p < 0.005
5. Some other answer; indicate:

Answer 1