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A. According to the Center for Disease Control, the prevalence of smoking among

ID: 3205348 • Letter: A

Question

A. According to the Center for Disease Control, the prevalence of smoking among adults in Oregon is 16.3%. It is 20.5% in Louisiana. In both states, theses estimates are based on samples of 1000 adults.

What is the standard error for each state? NOTE: Round to four digits to the right of the decimal and report your answers in the following format: #.####

   For Oregon it is
   For Louisiana it is

B. What is the 95% confidence interval for Oregon and for Louisiana, given the standard errors you just calculated in the previous question?

For Oregon, the confidence interval ranges from % to  %.
For Louisiana, the confidence interval ranges from % to  %.

Please enter your numbers as whole numbers with decimals, such as "3.5" or "9.2" or "16.0". As the examples indicate, please include only one digit to the right of the decimal.

Explanation / Answer

A. For Oregon p=0.163 so sd=sqrt(p(1-p)/n)=0.012

For Louisiana p=0.205 so sd=sqrt(p(1-p)/n)=0.013

B. x vaalue for 95% is 1.96

Now CI is p+/-Z*sd

For first one it is 0.163+/-1.96*0.012=0.163+/-0.023=(0.14,0.186)

For second it is 0.205+/-1.96*0.013=(0.205+/-0.025)=(0.18,0.23)

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