Question

Determine whether the results appear to have statistical significance, and also determine whether the results have practical significance:

In a study of the Marisa Waite diet, four subjects lost an average of 45 pounds. It is found that there is about a 30% chance of getting such results with a diet that has no effect.

A. Statistically significant, practically significant
B. Statistically significant, not practically significant
C. Not statistically significant, practically significant
D. Not statistically significant, not practically significant

Answer 1

The results do not appear to have statistical significance, but they have practical significance.

Step-by-step explanation:

To determine whether the results appear to have statistical significance, we need to compare the observed average weight loss to the chance of getting such results with a diet that has no effect. The chance of getting such results with a diet that has no effect is 30%. If the chance is lower than the predetermined threshold (typically 5%), then the results are considered statistically significant, indicating that the diet has an effect. In this case, 30% is higher than 5%, so the results do not appear to have statistical significance.

To determine whether the results have practical significance, we need to consider the magnitude of the effect. In this case, the average weight loss is 45 pounds, which can be considered a significant and practical result. Therefore, the results have practical significance.

Based on these conclusions, the correct answer is D. Not statistically significant, not practically significant.