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A NP researcher randomly sampled 100 women aged 50-65 years and measured their minutes of exercise in the past week, BMI, and depression. Depression was measured using a Likert-type scale consisting of 20 items. The summation score ranged from 20 to 100, and the higher the score, the higher the level of depression. The Pearson correlation coefficients (r's) are summarized in the following table. For the analyses, the statistically significant level was set at Î±=0.05. Table 1: Correlation among minutes of exercise, BMI, and depression Exercise in past week (minutes) BMI Depression score BMI -0.15 Depression score -0.30* 0.20 *p < 0.05 For the relationship between minutes of exercise and BMI, what was the estimated power of the statistical test and the risk that a type II error was committed?

          A NP researcher randomly sampled 100 women aged 50-65 years and measured their minutes of exercise in the past week, BMI, and depression. Depression was measured using a Likert-type scale consisting of 20 items. The summation score ranged from 20 to 100, and the higher the score, the higher the level of depression. 
The Pearson correlation coefficients (r's) are summarized in the following table. For the analyses, the statistically significant level was set at Î±=0.05.

Table 1: Correlation among minutes of exercise, BMI, and depression

Exercise in past week (minutes)   BMI   Depression score
BMI                              -0.15
Depression score                 -0.30*   0.20

*p < 0.05

For the relationship between minutes of exercise and BMI, what was the estimated power of the statistical test and the risk that a type II error was committed?

Added by Joshua A.

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