Sample Examination One - La Jolla High School

Sanaple Examination One Section I
I 5. A candidate for mayor hires a statistician to determine the amount of supporl he has for
the upcoming election. The statistician tests ihe nuli hypothesis that the population
proportion equals 500/o against the alternative hypothesis that the population proporlion
is greater than 50o/o. The results of a simple random sample of 91 registered.voters can
be found in the printout beloll,.
Success
Var.iable X N Sample P
for Candidate 58 9L 0.637363
The conclusion u'hich can be reached is:
I. The candidate can be quite confident that he has more than 50% of ihe vote.
il. Thep-value of 0.0044 tells us that we cannot rejectthe null hl,pothesis and
that the candidate has 50% or less ofthe vote.
III. Thep-value of 0.0044 indicates that it is not very likely to get an observed
value of 0.637 if the null hypothesis is true.
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I and III
16. Which of the following are true?
I. The larger the sample, the smaller the spread in the sampling distribution.
il. Provided that the population size is significantly greater than the sample size,
the spread of a sampling distribution is about the same no matter what the
samnle size.
III. Sampling distributions from
provided n is large.
(A) II only
(B) III only
(C) I and ll only
(D) I and III only
(E) I, II, and III
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= 0.5 vs p > 0.5
for Candidat.e
Exact P value
0. c044
Answer
non-normal populations are approximately norrnal
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Answer
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