Sample surveys show that more people are tracking changes in their health on pap

Question

Sample surveys show that more people are tracking changes in their health on paper, spreadsheet, mobile device, or just "in their heads." A survey asked a nationwide random sample of 3005 adults "Now thinking about your health overall, do you currently keep track of your own weight, diet, or exercise routine, or is this not something you currently do?" The population that the poll wants to draw conclusions about is all U.S. residents aged 18 and over. Suppose that in fact 63% of all adult U.S. residents would say "Yes" if asked this question. Use Normal Approximation and software to find the probability (±±0.0001) that 1900 or more of the sample say "Yes"? P(X1900)P(X1900) =

Explanation / Answer

Solution

Sample size, n = 3005

P(Yes) = 0.63, population mean = 0.63*3500 = 2205, variance = 815.85

P(X>=1900) = P(Z>=((1900/3005)-0.63))/((0.63)(0.37)/3500)0.5

P(Z>=0.2588)

= 0.3530

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