Exercise 17-13: Political Viewpoints
17-13, 24-10
The 2004 General Social Survey asked a
random
sample of 1309 American adults to report
their political viewpoint as liberal, moderate,
or conservative. The number who classified
themselves as moderate was 497.
a. Can you determine whether or not more
than one-third of the sample consider
themselves to be political moderates? If
so, answer the question. If not, explain
why not.
b. Suppose that one-third of the population
consider themselves to be political moderates.
What then would be the probability that 497
or more in a random sample of 1309 people
would call themselves political moderates?
[Hint: Answer this question by determining the
p-value of the relevant test.]
c. How would you expect the p-value to change if
the sample had contained 327 people, of whom
124 called themselves political moderates?
Explain. [Hint: Note that the sample size and
number of moderates have been reduced by a
factor of four.]
d. Determine the p-value based on the sample
data in part c. Was your answer to part c
correct?
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