The following applies to Questions 1 to 3:

1. In a random sample of 150 Ontario high school students, it is found that 66 of them have enrolled in university.

What is the margin of error for a 89% confidence interval for the true proportion of Ontario high school students who enroll in university? Report your answer rounded to 3 decimal places.

2. An article in a national magazine claims that less than 48% of all high school students in Ontario go to university after they graduate. What is the -value of the appropriate test of significance?

3. In the previous question, at the 2% level of significance, what is the decision rule using the critical value method?

4. We would like to construct a confidence interval to estimate the proportion of all Canadians who have blue eyes. What sample size is required in order to estimate the proportion to within 0.05 with 98% confidence?

Do not use an educated guess for the value of p.

As you should always do with sample size determination problems, always round up your decimal answer to the next higher whole number.