32. Road Trip! Parents with children list a GPS system

(28%) and a DVD player (28%) as “must have” accessories for a road trip.15 Suppose a sample of n51000 parents are randomly selected and asked what devices they would like to have for a family road trip. Let ˆp be the proportion of parents in the sample who choose either a GPS system or a DVD player.

a. If p=.28+.28=.56, what is the exact distribution of ˆp? How can you approximate the distribution of ˆp?

b. What is the probability that ˆp exceeds .6?

c. What is the probability that ˆp lies between .5 and .6?

d. Would a sample percentage of pˆ 5.7 contradict the reported value of .56?

Transcribed Image Text:

To surive road trips with the family, parents Must have accessories on family road trips GPS DVD consider a GPS 28% player 28% navigation Extra power device and a supplies 7%. Extra cup DVD player holders 14% essential. Don't know 7% Folding/removable Roof rack 8% seating 8%