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 $= 159$

$\mathrm { UPPER } \mathrm { LIMIT } = .46492$
LOWER LIMIT $= .331153$

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^p and n^q are both greater than 15.
C) No, the population of college students is not normally distributed.
D) Yes, since n 30.

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

\mathrm { UPPER } \mathrm { LIMIT } = .46492

LOWER LIMIT

= .331153

Is the sample large enough for the interval to be valid?

SAMPLE PROPORTION $= .396226$
SAMPLE SIZE $= 159$

$\mathrm { UPPER } \mathrm { LIMIT } = .46492$
LOWER LIMIT $= .331153$

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^p and n^q are both greater than 15.
C) No, the population of college students is not normally distributed.
D) Yes, since n > 30.

Quizplus · Accepted Answer

The sample size is large enough because both $ n \times \hat{p} $ and $ n \times (1 - \hat{p}) $ are greater than 15, which satisfies the condition for the normal approximation to be valid.

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

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