A large midwestern state administers a state wide 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)
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.