What type of car is more popular among college students American or Foreign? One

Question

What type of car is more popular among college students American or Foreign? One hundred fifty-nine college students were randomly sampled and asked which type of car they drove. A computer package was used to generate the printout below for the proportion of college students who drive American automobiles.

SAMPLE PROPORTION = 0.396
226
SAMPLE SIZE = 159

UPPER LIMIT = 0.46277
LOWER LIMIT = 0.331153
is the sample large enough for the central limit theorem?
a- no, the central limit theorem only applies means.
b- no, the population of college students is not normally distributed.
c- yes since n>30
d- yes since both the number of successes 15 and the number of failures 15

Explanation / Answer

Here,

number of successes = 159*0.396 = 63
number of failures = 159 - 63 = 96

Hence,

OPTION D: d- yes since both the number of successes 15 and the number of failures 15 [ANSWER]

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