A new drug is being tested for its effectiveness to treat a certain type of infection. It was effective in 119 cases out of 170.
(a) Construct a 95% confidence interval for the rate of effectiveness of the new drug for treating this type of infection.
(b) Without constructing the 98% confidence interval for the rate of effectiveness, would you expect the interval to be longer or shorter compared to the 95% confidence interval? Why?
(c) Construct a 98% confidence interval for the rate of effectiveness of the new drug for treating this type of infection.