Chapter 4.5, Problem 17E

In Exercises $9-22$, round off your answers (sample proportions and margins of error) to three decimal places (a tenth of a percent).

Exercises $17-20$ are based on a survey (published in April 2000) of 129, 593 students in grades 6-12 conducted by USA WEEK-END magazine.

When asked, "Do you, personally, feel safe from violence in school?" 92, 011 said yes, and 37, 582 said no.

a. Determine the sample proportion of students who said yes.

b. Determine the sample proportion of students who said no.

c. With a $95\%$ level of confidence, find the margin of error associated with the sample proportions.