# Sample Size

Difficult to comprehend. Many need to be in Excel format to answer.

1. What proportion of Americans get most of their news from the internet? According to a poll conducted by Pew Research Center, 40% get most of their news from the Internet.

a. To conduct a follow-up study that would provide 95% confidence that the point estimate is correct to within +/- 0.04 of the population proportion, how large a sample size is required?

b. To conduct a follow-up study that would provide 99% confidence that the point estimate is correct to within +/- 0.04 of the population proportion, how many people need to be sampled?

c.To conduct a follow-up study that would provide 95% confidence that the point estimate is correct to within +/- 0.02 of the population proportion, how large a sample size is required?

d. To conduct a follow-up study that would provide 99% confidence that the point estimate is correct to within +/- 0.02 of the population proportion, how many people need to be sampled?

e. Discuss the effects of sample size requirements of changing the desired confidence level and the acceptable sampling error.

2. A stationary store wants to estimate the total retail values of the 1000 greeting cards it has in its inventory. Construct a 95% confidence interval estimate for the population total value of all greeting cards that are in inventory if a random sample of 100 greeting cards indicates a mean value of $2.55 and a standard deviation of $0.44.

3. An internal control policy for Rhonda's Online Fashion Accessories requires a quality assurance check before a shipment is made. The tolerable exception rate for this internal control is 0.05. During an audit, 500 shipping records were sampled from a population of 5000 shipping records, and 12 were found that violated the internal control.

a. Calculate the upper bound for a 95% one-sided confidence interval estimate for the rate of noncompliance.

b. Based on (a), what should the auditor conclude?

https://brainmass.com/statistics/confidence-interval/sample-size-455629

#### Solution Summary

Sample Size