You are planning to run a t-test, comparing the production of 20 potato fields treated with fertilizer A versus 20 treated with fertilizer B. The production data for these fields are seen below:
You perform a two-sample t-test, comparing the production of the fields treated with fertilizer A versus those treated with fertilizer B. You obtain the following result:
alpha of 0.05, you classify the result of the t-test as not significant, indicating no difference between the fertilizers. You then perform a power analysis, using an
effect_size of 0.6 (this is the smallest effect size that you would consider worthwhile), an
alpha of 0.05 and the same sample size (20 fields each treatment) used for the t-test.
You obtain the following result for your
Which of the following interpretations best fits your data?