Question

State, and briefly explain, whether the width of a confidence interval for one population proportion would decrease, increase, or remain the same as a result of each of the following changes (holding all other values constant): 7. a. Decrease the sample (0.5 point) b. Increase the value of the sample mean (0.5 point) c. Reduce the value of a (alpha) (0.5 point)

Answer 1

Answer:

The option b) is correct

The width of a confidence interval for one population proportion would decrease, increase, or remain the same as a result is Increase the value of the sample mean (0.5 point)

Step-by-step explanation:

Given that the width of a confidence interval for one population proportion would decrease, increase, or remains the same.

To find the result for the given data :

By definition we have that "the width for the confidence interval decreases as the sample size increases". The width of the confidence interval increases as same as the standard deviation also increases. The width increases as the confidence level increases between (0.5 towards 0.99999 - stronger).

The width of a confidence interval is affected by 3 measures. they are the value of the multiplier t* , the standard deviation s of the original data, and the sample size of n .

Therefore the width of a confidence interval for one population proportion would decrease, increase, or remain the same as a result is Increase the value of the sample mean (0.5 point)

Therefore the option b) is correct