(Answered) The article consumers show increased liking for diesel

Engineering

The article "Consumers Show Increased Liking for Diesel Autos" (USA Today, January 29, 2003) reported that 27% of U.S. consumers would opt for a diesel car if it ran as cleanly and performed as well as a car with a gas engine. Suppose that you suspect that the proportion might be different in your area and that you want to conduct a survey to estimate this proportion for the adult residents of your city.

a. What is the required sample size if you want to estimate this proportion to within .05 with 95% confidence? Compute the required sample size first using .27 as a preliminary estimate of p and then using the conservative value of .5.

b. How do the two sample sizes compare? What sample size would you recommend for this study?

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