Many Studies Have Investigated the Question of Whether People Tend

Multiple Choice

Many studies have investigated the question of whether people tend to think of an odd number when they are asked to think of a single-digit number (0 through 9; 0 is considered an even number) . When asked to pick a number between 0 and 9, out of 70 students, 42 chose an odd number. Let the parameter of interest, π, represent the probability that a student will choose an odd number.
-If we changed the confidence level, what would happen to the width of the 95% confidence interval for , all else remaining the same?

A) A 90% confidence interval would be wider, and a 99% confidence interval would be narrower.
B) A 90% confidence interval would be narrower, and a 99% confidence interval would be wider.
C) Both a 90% and 99% confidence interval would be wider.
D) Both a 90% and 99% confidence interval would be narrower.