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Q.10

Expert-verifiedFound in: Page 482

Book edition
4th

Author(s)
David Moore,Daren Starnes,Dan Yates

Pages
809 pages

ISBN
9781319113339

How confident? The figure at top right shows the result of taking $25$ SRSs from a Normal population and constructing a confidence interval for each sample. Which confidence level—$80\%,90\%,95\%$, or $99\%$—do you think was used? Explain.

The nearest confidence level is $99\%$.

The result of taking $25$ SRSs:

The red lines under the curve represent the sample means that do not contain the true population proportion.

We note that there are $0$ out of the $25$ samples that do not contain the true proportion and thus $25$ out of the $25$ samples contain the true proportion:

$\frac{25}{25}=1=100\%$

The nearest confidence level is $99\%$ (although $95\%$ could also be a possible used confidence level).

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