A large midwestern state administers a statewide mathematics exam that has an average of 500. A researcher is designing a study to test the idea that students from charter schools score higher than average on the test. The researcher plans to take a random sample of 100 students from charter schools. He will then carry out a test of hypothesis using a significance level of 0.01. Which of the following will increase the power of this test? (pick all that apply).
Select one or more:
a. If the researcher talks with 500 students.
b. If the researcher talks with 50 students.
c. If the researcher takes the mathematics test himself.
d. If the researcher uses a significance level of 0.05.
e. If the researcher uses a significance level of 0.001