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The manager of a city recreation center wants to estimate the percent of city residents who favor a proposal to build a new dog park. To gather data, the manager will select a random sample of city residents. Which of the following is the most appropriate interval for the manager to use for such an estimate?
a. A one-sample zz-interval for a sample proportion.
b. A one-sample zz-interval for a population proportion.
c. A one-sample zz-interval for a difference between population proportions.
d. A two-sample zz-interval for a difference between sample proportions.

Answer :

Considering the hypothesis tested, the most appropriate interval for the manager to use for such an estimate is given by:

b. A one-sample z-interval for a population proportion.

What is the most appropriate test?

The manager will sample some residents, and if the proportion who is in favor of the new park is high enough, he builds the new park.

For the most appropriate test, we have that:

  • There is only one sample, hence it is a one-sample test.
  • He will use the sample proportion to estimate the population proportion.

Hence, option B is correct.

More can be learned about an hypothesis test at https://brainly.com/question/16313918

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