Use the data in Try It Yourself 1 to construct a 90% confidence interval for the population proportion of U.S. teachers who say that “all or almost all” of the information they find using search engines online is accurate or trustworthy.

a. Find p̂ and q̂.

b. Verify that the sampling distribution of p̂ can be approximated by a normal distribution.

c. Find z_c and E.

d. Use p̂ and E to find the left and right endpoints of the confidence interval.

e. Interpret the results.

Data in Try It Yourself 1

In a survey of 2462 U.S. teachers, 123 said that “all or almost all” of the information they find using search engines online is accurate or trustworthy.