1. The director of admissions at a large university says that 15% of high school juniors to whom she sends university literature eventually apply for admission. In a sample of 300 persons to whom materials were sent, 30 students applied for admission. (30 pts)

a. In a two-tail test at the 0.01 level of significance, should we reject the director's claim?

b. Based on your decision, which type of error could the sample data have led you to make? Explain what that means in the context of the question.