Question: In 2005, 34% of workers reported that their jobs were more difficult, with more stress, and 37% reported that they worry about retiring comfortably. (Extracted from S. Armour, Money Worries Hinder Job Performance, USA Today, October 5, 2005, p. D1). Consider a follow-up study to be conducted in the near future.
a. What sample size is needed to estimate the population proportion of workers who reported that their jobs were more difficult, with more stress, to within 0.02 with 95% confidence?
b. What sample size is needed to estimate the population proportion of workers who worried about retiring comfortably to within ±0.02 with 95% confidence?
c. Compare the results of (a) and (b). Explain why these results differ. d. If you were to design the follow-up study, would you use one sample and ask the respondents both questions, or would you select two separate samples? Explain the rationale behind your decision.