A researcher wanted to know the percentage of judges who are in favor of the death penalty. He took a random sample of 15 judges and asked them whether or not they favor the death penalty. The responses of these judges are given here. Yes No Yes Yes No No No Yes No No Yes Yes Yes No Yes a. What is the point estimate of the population proportion? Round your answer to three decimal places. i b. Construct a 95% confidence interval for the percentage of all judges who are in favor of the death penalty. Round your answers for the confidence interval to three decimal places, and your answers for the

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A researcher wanted to know the percentage of judges who are in favor of the death penalty. He took a random sample of 15 judges and asked them whether or not they favor the death penalty. The responses of these judges are given here.

| Yes | No  | Yes | Yes | No  |
|-----|-----|-----|-----|-----|
| No  | No  | Yes | No  | No  |
| Yes | Yes | Yes | No  | Yes |

**a.** What is the point estimate of the population proportion?

Round your answer to three decimal places.

\[
\hat{p} = 
\]

**b.** Construct a 95% confidence interval for the percentage of all judges who are in favor of the death penalty.

Round your answers for the confidence interval to three decimal places, and your answers for the percentage to one decimal place.
Transcribed Image Text:A researcher wanted to know the percentage of judges who are in favor of the death penalty. He took a random sample of 15 judges and asked them whether or not they favor the death penalty. The responses of these judges are given here. | Yes | No | Yes | Yes | No | |-----|-----|-----|-----|-----| | No | No | Yes | No | No | | Yes | Yes | Yes | No | Yes | **a.** What is the point estimate of the population proportion? Round your answer to three decimal places. \[ \hat{p} = \] **b.** Construct a 95% confidence interval for the percentage of all judges who are in favor of the death penalty. Round your answers for the confidence interval to three decimal places, and your answers for the percentage to one decimal place.
Round your answers for the confidence interval to three decimal places, and your answers for the percentage confidence interval to one decimal place.

The confidence interval is  
\[ \_ \_ \_ \_ \] 
to  
\[ \_ \_ \_ \_ \] 
.

The corresponding interval for the population percentage is  
\[ \_ \_ \_ \_ \] % to  
\[ \_ \_ \_ \_ \] %.
Transcribed Image Text:Round your answers for the confidence interval to three decimal places, and your answers for the percentage confidence interval to one decimal place. The confidence interval is \[ \_ \_ \_ \_ \] to \[ \_ \_ \_ \_ \] . The corresponding interval for the population percentage is \[ \_ \_ \_ \_ \] % to \[ \_ \_ \_ \_ \] %.
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