Question

In: Statistics and Probability

A team of researchers wanted to assess the effectiveness of the 4 components of a weight...

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:

Weight Status

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.

  1. Compute the expected (E) number of students for each category: (7.5pts)

Weight Status

Intervention Component

Normal Weight

Overweight

Obese

Total

Control Group

Observed

50

35

15

Expected

Calorie Counting

Observed

70

20

10

Expected

Physical Activity

Observed

73

15

12

Expected

Combination

Observed

80

15

5

Expected

Total

Solutions

Expert Solution


orchestra answered 2 years ago
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