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 for the proportion of
College students who prefer American automobiles. SAMPLE PROPORTION $ =.396226 $
SAMPLE SIZE $ =159 $
UPPER LIMIT $ =.46353 $
LOWER LIMIT $ =.331114 $

Is the sample large enough for the interval to be valid?
A) No, the sample size should be at $10 \%$ of the population.
B) Yes, since $n 30$.
C) Yes, since $n \hat { p }$ and $n q$ are both greater than 15 .
D) No, the population of college students is not normally distributed.

Question

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 for the proportion of
College students who prefer American automobiles. SAMPLE PROPORTION $ =.396226 $
SAMPLE SIZE $ =159 $
UPPER LIMIT $ =.46353 $
LOWER LIMIT $ =.331114 $

Is the sample large enough for the interval to be valid?
A) No, the sample size should be at $10 \%$ of the population.
B) Yes, since $n > 30$.
C) Yes, since $n \hat { p }$ and $n q$ are both greater than 15 .
D) No, the population of college students is not normally distributed.

Quizplus · Accepted Answer

The sample size is large enough because both $n \hat{p}$ and $n(1-\hat{p})$ are greater than 15, satisfying the conditions for a valid confidence interval for proportions.

What Type of Car Is More Popular Among College Students =.396226 =.396226 =.396226

What Type of Car Is More Popular Among College Students $=.396226$