Chapter 9, Problem 58SE

Fifty-two percent of Americans report that they generally can sleep during flights (Expedia website, December 6, 2015). Are people who fly frequently more likely to be able to sleep during flights? Suppose we have a random sample of 510 individuals who flew at least 25,000 miles last year and 285 indicated that they were able to sleep during flights.
a. Conduct a hypothesis test to determine whether the results justify concluding that people who fly frequently are more likely to be able to sleep during flights. Use $\alpha =.05$ .
b. Conduct the same hypothesis test you performed in part (a) at $\alpha =.01$ . What is your conclusion?