AnswersStatisticsChoosing the Appropriate Inference Procedure — QuizQuestion 10
10
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Choosing the Appropriate Inference Procedure — Quiz

Question 10 • Statistics

The mayor of a large town wants to determine if a majority of the households in the town support a proposal. The mayor’s assistant randomly selects 100 households and asks whether they would support the mayor’s proposal. Sixty households responded that they would. Is there evidence that a majority of the households would support the proposal? What is the appropriate inference procedure?

Answer
A
two-sample z -test for p sub 1 minus p sub 2
B
one-sample z - test for p
C
one-sample t -test for mu sub d i f f
D
one-sample t -test for mu

Explanation

Each household either supports the proposal or does not, so the quantity of interest is a single population proportion, p. To determine whether a majority supports it, test whether p is greater than 0.50; the sample proportion is 60/100 = 0.60. The appropriate procedure is a one-sample z-test for p, choice B.

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