The most recent public health statistics available indicate that 15.9% of Americ

Question

The most recent public health statistics available indicate that 15.9% of American adults smoke cigarettes. Using the 68-95-99.7 Rule, describe the sampling distribution model for the proportion of smokers among a randomly selected group of 60 adults. Be sure to discuss your assumptions and conditions. are smokers, a 95% chance that between % and % are smokers, and a 99.7% chance that between | % There is a 68% chance that between | % and | % and % are smokers. (Round to one decimal place as needed.) Discuss your assumptions and conditions. Select all conditions that are met below. [ The Randomization Condition The 10% Condition The Success/Failure Condition No conditions are met. Select all assumptions that are justified below. ? The Independence Assumption The Sample Size Assumption No assumptions are justified

Explanation / Answer

Sol:

sample prop=p^=15.9%=0.159

standard error=sqrt(p^(1-p^)/n

=sqrt(0.159*(1-0.159)/60)

=0.047

68% mean-sd and mean+sd,

0.159-0.047and 0.159+0.047

0.112 and 0.206

11.2% and 20.6%

95% lies in between mean-2sd and mean+2sd

0.159-2(0.047) and 0.159+2*0.047

0.065 and 0.253

6.5% and 25.3%

99.7% lies in between mean-3sd and mean+3sd

=1.7% and 30.1%

0.017374 and 0.300626

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