Tom Marley and Jennifer Griggs have recently started marketing research firm in Jacksonville, Florida. They have contacted Florida Democratic Party with proposal to do all political polling for party. Since they've just started their company, the state party chairman is reluctant to sign contract without some test of their accuracy. He has asked them to do trial poll in central Florida county known to have 60% registered Democratic Party voters. The poll itself had many questions. But, for the test of accuracy, only the proportion of registered Democrats was considered. Tom and Jennifer report back that from random sample of 760 respondents, 395 were registered Democrats.
a. Find out the probability that such a random sample would result in 395 or fewer Democrats in sample.
b. Based upon your computations in part a, would you suggest that the Florida Democratic Party (or anyone else for that matter) contract with the Marley/Griggs marketing research firm? Explain your answer.