Question

Statistical Significance and Practical Significance. In Exercises 13–16, determine whether the results appear to have statistical significance, and also determine whether the results appear to have practical significance.

Diet and Exercise Program In a study of the Kingman diet and exercise program, 40 subjects lost an average of 22 pounds. There is about a 1% chance of getting such results with a program that has no effect

Short answer

The results seem to have both statistical and practical significance.

Step-by-step solution

Given information

The number of subjects in the study who lost an average of 22 pounds weight through the Kingsman diet and exercise program is 40.

The chance of obtaining results with a program known to have no effect is 1%.

Explanation for statistical and practical significance

Statistical significance is the chance of rejecting the base hypothesis assuming that it is true. Practical significance is determined using effect size, which describes the practical meaningfulness of the result.

Statistical significance

As the chance of obtaining the result that a person has lost an average weight of 22 pounds is 1%, it can be interpreted that the result is highly unlikely to appear.

Thus, the results show that there appears to be a statistical significance.

Practical significance

As 22 pounds is known to have been lost through the diet and exercise, the result declares that the exercise program and diet are useful in practical situations.

Thus, the results show that there appears to be a practical significance.