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 z-interval for a population proportion
B. A one-sample z-interval for a difference between population proportions
C. A two-sample z-interval for a difference between sample proportions
D. A two-sample z-interval for a difference between population proportions

For the given problem the appropriate interval for the manager to use for such an estimate is a one sample Z interval for a population proportion.Thus the option A is the correct option.

Given-

Manager of a city recreation center wants to estimate the percent of city residents who favor a proposal to build a new dog park.

Random sample data is been selected by the manager.

The one sample z test is performed to know weather the mean of the population is greater than, equal to or less than to a specific value.

For the one sample z test following properties are given-

The given data is continues and follow the normal probability distribution.

The sample should be a simple random sample from its population.
Each and every individual sample in the population should have an equal probability of being selected in the sample.
The standard deviation should be known.

In the given problem as the manager of the city wants to estimate the percent of city residents who favor a proposal to build a new dog park and for this random sample data he selected. For this he should use the interval of a one sample Z interval for a population proportion.

Hence, for the given problem the appropriate interval for the manager to use for such an estimate is a one sample Z interval for a population proportion.Thus the option A is the correct option.

For more about the z test follow the link below-

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