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In a survey of 4045 adults, 708 say they have seen a ghost. Construct a 99% conf

ID: 3222420 • Letter: I

Question

In a survey of

4045

adults,

708

say they have seen a ghost.

Construct a 99% confidence interval for the population proportion. Interpret the results.

A 99% confidence interval for the population proportion is

(nothing,nothing).

(Round to three decimal places as needed.)

Interpret your results. Choose the correct answer below.

A.

With 99% probability, the population proportion of adults who say they have not seen a ghost is between the endpoints of the given confidence interval.

B.

The endpoints of the given confidence interval show that 99% of adults have seen a ghost.

C.

With 99% confidence, it can be said that the sample proportion of adults who say they have seen a ghost is between the endpoints of the given confidence interval.

D.

With 99% confidence, it can be said that the population proportion of adults who say they have seen a ghost is between the endpoints of the given confidence interval.

Explanation / Answer

The statistical software output for 99% confidence interval is:

One sample proportion confidence interval:
p : Proportion of successes
Method: Standard-Wald

99% confidence interval results:

Hence.

A 99% confidence interval for population proportion is:

(0.160, 0.190)

Interpretation:

Option D is correct.

With 99% confidence, it can be said that the population proportion of adults who say they have seen a ghost is between the endpoints of the given confidence interval.

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 708 4045 0.1750309 0.0059747116 0.15964107 0.19042074
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