Chapter 8.1, Problem 10E

To determine

Check whether which confidence level used in the sample 80%, 90%, 95%, or 99%.

Answer to Problem 10E

The confidence level use in the sample is 99%.

Explanation of Solution

Given Information:

The given figure is

  

Explanation:

From the figure, the number of samples that do not contain true proportion mean = 0

Thus, 25 out of the 25 samples contain the true proportion.

The confidence level $\begin{array}{c}=\frac{25}{25}\\ =1\end{array}$

Convert 1 into percentage.

  $\begin{array}{c}\text{Percentage}=1\times 100\%\\ =100\%\end{array}$

Given confidence interval for each sample are 80%, 90%, 95% and 99%.

99% is the nearest confidence level to the calculated confidence level.

Hence, the confidence level use in the sample is 99%.