A researcher wants to estimate the percent of the population that uses the internet to stay informed on world news issues.The researcher wants to estimate the population proportion with a 98% level of confidence. He estimates from previous studies that at least 65% of the population stay informed on world issues through the internet..He also wants the error to be no more than .03.The sample size should be at least _______.
A) 41
B) 313
C) 1677
D) 1373
E) 1500

Question

Quizplus · Accepted Answer

In order to estimate the sample size required for this study, we can use the formula for sample size:

n = (Z^2 * p * q) / E^2

Where:

- Z is the level of confidence (in this case 2.33 for 98% confidence)
- p is the estimated proportion (in this case 0.65)
- q is 1-p (in this case 0.35)
- E is the margin of error (in this case 0.03)

Plugging in these values, we get:

n = (2.33^2 * 0.65 * 0.35) / 0.03^2
n ≈ 1373

Therefore, the researcher needs a sample size of at least 1373 to estimate the population proportion of internet users with a 98% level of confidence and a margin of error no more than 0.03.

A Researcher Wants to Estimate the Percent of the Population