A civic group reported to the town council that at least 60% of the town residents were in favor of a particular bond issue. The town council then asked a random sample of 100 residents if they were in favor of the bond issue. Forty-eight said yes. Test whether there is sufficient evidence to doubt the report and conclude the percent favoring the bond is actually lower than 60%.

Twenty Texas Tech law school graduates took the bar exam and 18 of them passed. If this represents a random sample of all Texas Tech law graduates, is this sufficient evidence to conclude that the probability of a Texas Tech law school graduate passing the law exam is higher than the state average, which is 70%?

Twenty torpedoes are released in an underwater war exercise. Fifteen of them hit their target. Find a 90% confidence interval for the probability of a torpedo hitting the target. (a) solve this problem. (b) Use the large sample approximation to solve this problem. (c) Discuss the assumptions you are making in this problem.