In the year 2001 youth risk behavior survey done by the u. s. centers for disease control, 747 out of 1168 female 12th graders said they always use a seatbelt when driving. lets construct a 98% confidence interval for the proportion of 12th grade females in the population who always use a seatbelt when driving.

(a) use r to find the score ci for the proportion of 12th grade females in the population who always use a seatbelt when driving.

(b) use r to find the traditional ci for the proportion of 12th grade females in the population who always use a seatbelt when driving.

(c) assuming there is no prior information or past experience available, what is the sample size necessary to control the score 98% ci width to be within 0.01.

(d) assuming there is no prior information or past experience available, what is the sample size necessary to control the traditional 98% ci width to be within 0.01.