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Lapatulllka [165]
3 years ago
13

ccording 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
Mathematics
1 answer:
shusha [124]3 years ago
6 0

Answer:

SE = 0.01730335

Step-by-step explanation:

We have two independent population (smokers in Oregon and Smokers in Louisiana).

Proportion of smokers (adult) in Oregon (Po) = 0.163

Proportion of non-smokers (adult) in Oregon (1- Po) = 0.837

Proportion of smokers (adult) in Louisiana (Ps) = 0.205

Proportion of non-smokers (adult) in Louisiana (1- Ps) = 0.795

With equal sample sizes (n) selected ==> no and ns = 1000.

Where no represents the sample size taken in Oregon and ns represents the sample size taken in Louisiana.

By Standard Error (SE) = \sqrt{\frac{Po(1-Po) + Ps(1-Ps)}{n} } ; the <em>n </em>implies equal sample size.

Therefore;

       SE = \sqrt{\frac{(0.163*0.837) + (0.205*0.795)}{1000}} = 0.01730335

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