Problem 2 The Mars rovers Spirit and Opportunity found evidence that there was o

Question

Problem 2 The Mars rovers Spirit and Opportunity found evidence that there was once water on Mars in 2004 An opinion poll taken at the time indicated that 49% of 1093 adults surveyed thought that the United States should pursue a program to send humans to Mars Estimate the proportion of all Americans who think that the United States should send humans to Mars Use Tehebysheff's Theoem and/or the normal approximation to the binomial distribution to provide a bound on the eror of estimation that is satisfied with probability at least 0.9 Finally, calculatea 0.90-confidence interval for p using the observed sample proportion Problem 3

Explanation / Answer

Point estimate = 0.49

95% CI = p ± Z/2*[(1/n)*p*(1-p)]
95% CI = 0.49 ± 1.96*[(1/1093)*0.49*(1-0.49)] = (0.4604,0.5196)

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