What does brand loyalty mean to consumers? According to a Rare research report, 20% of consumers associate trust with brand loyalty.

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 consumers 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 consumers need to be sampled?

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