Question: A researcher wants to compare the efficacy of a drug in reducing blood pressure to a placebo. She sets an alpha level of .05. She finds a difference between the drug and the placebo. She calculates a p-value of .051. (5 points)

a. Can she assert that there was a statistically significant difference between the drug and placebo? Justify your answer. (1pt)

b. If the power of the study is calculated to be .50, would your answer to the previous question change? Justify your answer. (1pt)

c. Identify at least three ways that the researcher could increase the power of the study. Justify your answer. (1pt)

d. After reaching a statistical decision, what type of statistical error could the researcher have made (Type I or Type II). Explain your answer. (1 pt)

e. If the researcher had set the alpha level at 0.10, what statistical decision would she make? (1 pt)