To advertise appropriate vacation packages, Best Bets Travel would like to learn more about families planning overseas trips. In a random sample of 125 families planning a trip to Europe, 15 indicated France as their travel destination.
a. For those families planning vacations to Europe, find a 98% confidence interval for the true proportion traveling to France.
b. Suppose no prior estimate of p = is known. How large a sample is necessary for the bound on the error of estimation to be 0.05 with the confidence level in part (a)?
In a recent survey, a random sample of 650 Americans were asked several questions regarding television broadcasting and programming. The table below lists three proposals and the number of Americans who responded in favor of each.
a. Find a 95% confidence interval for the true proportion of Americans in favor of limiting the number of commercials shown during each children’s show.
b. Find a 95% confidence interval for the true proportion of Americans in favor of providing more adult-education programs.
c. Find a 95% confidence interval for the true proportion of Americans in favor of making all children’s programming commercial-free.
d. Which of the above confidence intervals is the narrowest? Why?