a. Suppose you are with a health agency that wants to estimate what percentage of Ohioans really has contracted coronavirus and thus has antibodies. If your agency wants a 2% margin of error at a 95% confidence level, how many people should you have in your study?

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Compute the following sample sizes.  If
necessary, round to the nearest hundredth

 

a. Suppose you are with a health agency that wants to estimate what percentage of Ohioans really
has contracted coronavirus and thus has antibodies. If your agency wants a 2% margin of error
at a 95% confidence level, how many people should you have in your study?

b. A random sample of 10 regions in New England gave the following violent crime rates (per
million population):
3.5, 3.7, 4.0, 3.9, 3.3, 4.1, 1.8, 4.8. 2.9, 3.1
Another random sample of 12 regions in the Rocky Mountain states gave the following violent
crime rates (per million population):
3.7, 4.6, 4.5, 5.3, 3.3, 4.8, 3.5, 2.4, 3.1, 3.5, 5.2, 2.8
Find the 85% confidence interval for the difference between the average violent crime rate in
New England states and the average violent crime rate in Rocky Mountain states. State your interpretation and conclusion.

 

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