3) (12 pts) The rate of brain cancer for non-cell phone users is 0.034%. A pharmaceutical company claims that cell phone users develop brain cancer at a greater rate than that for non-cell phone users. They did a study of 420,019 cell phone users, and found that 172 of the subjects developed brain cancer.
a) State the null and alternative hypotheses in plain English
b) State the null and alternative hypotheses in mathematical notation
c) Say whether you should use: T-Test, 1PropZTest, or 2-SampTTest
d) State the Type I and Type II errors
e) Which is worse, a Type I or Type II error? Explain your answer. (There is no correct answer - this is an opinion question)
f) Based your answer for part e, would you choose a significance level of 0.10, 0.05, or 0.01?
g) Perform the test using the significance level you chose and state your conclusion.