In recent years, there was an increase in the percentage of the population who f

Question

In recent years, there was an increase in the percentage of the population who favors the medical use of marijuana for patients suffering from severe illnesses. A 2002 survey of 600 residents of Wisconsin found that 480 favored a law that would allow seriously ill or terminally ill patients to use marijuana for medical purposes, if supported by their physician. Give a 95% confidence interval for the proportion of the Wisconsin population in favor of the medical use of marijuana. Interpret the result.

Explanation / Answer

Here Sample Proportion = 480/600= 0.8

Margin of error = 1.960*Sqrt(0.8*0.2/600) = 0.032006

95% interval is

(0.8-0.032006, 0.8+0.032006)

= (0.7680, 0.8320)

So, we are 95% confident that the proportion of the Wisconsin population in favor of the medical use of marijuana lies between this interval

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