What Type of Car Is More Popular Among College Students $= .396$

Multiple Choice

What type of car is more popular among college students, American or foreign? One hundred fifty-nine college students were randomly sampled and each was asked which type of car he or she prefers. A computer package was used to generate the printout below of a 95% confidence interval for the proportion of college students who prefer American automobiles.

SAMPLE PROPORTION $= .396$
SAMPLE SIZE $= 159$

UPPER LIMIT $= .472$
LOWER LIMIT $= .320$

Which of the following is a correct practical interpretation of the interval?

A) We are 95% confident that the proportion of all college students who prefer American cars falls between .320 and .472.
B) We are 95% confident that the proportion of all college students who prefer foreign cars falls between .320 and .472.
C) 95% of all college students prefer American cars between .320 and .472 of the time.
D) We are 95% confident that the proportion of the 159 sampled students who prefer American cars falls between .320 and .472.