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Chapter 7: Q2 (page 350)

Interpreting CIWrite a brief statement that correctly interprets the confidence interval given in Exercise 1 “Celebrities and the Law.”

Short Answer

Expert verified

There is 95% confidence that the limits of 0.692 and 0.748 contain the true value of the proportion of adults in the population who say that the law goes easy on celebrities.

Step by step solution

01

Given information

The 95% confidence interval estimate of the proportion of adults who say that the law goes easy on celebrities is 0.692<p<0.748.

02

Interpret the confidence interval

The confidence interval can be used to determine the estimated range of lower and upper limits in which the actual parameter value will be likely to fall at the defined confidence level.

From the confidence interval, the following can be concluded:

You are 95% of the time confident that the actual value of the proportion of adults in the population who say that the law goes easy on celebrities will lie between the limits of 0.692 and 0.748.

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