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Chapter 8: Q 8.6. (page 319)

Suppose that you take500 simple random samples from a population and that, for each sample, you obtain a 90%confidence interval for an unknown parameter. Approximately how many of those confidence intervals will not contain the value of the unknown parameter?

Short Answer

Expert verified

There are approximately 50confidence intervals that will not contain the value of the unknown parameter.

Step by step solution

01

The given information:

The simple random samples are500.

02

Simplification

We will find the confidence intervals that will contain the unknown parameter's value.

90%of500=90100×500=90×5=450

90%of500=90100×500=90×5=450.

Therefore, approximately 450confidence intervals are there which will contain the value of the unknown parameter.

The required approximate confidence intervals which will contain the unknown parameter are-500-450=50.

Thus, approximately 50 of the confidence intervals will not contain the value of the unknown parameter.

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