Question

Please come up with a categorical variable for which you would like to estimate the true...

Please come up with a categorical variable for which you would like to estimate the true proportion

that fall into a certain category (e.g., the proportion of your Facebook friends who enjoy

cooking). Please come up with an original example (as best as you can) and state your

question clearly. Then conduct a survey with a sample of participants that would allow you to estimate the true

proportion for your phenomena of interest. Lastly, find the 95% confidence interval.

Math   Statistics-And-Probability   
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Answer #1

(a) Original example of a categorical variable for which I would like to estimate the true proportion that fall into a category:

Proportion of smokers in the college

(b) Survey was conducted among to tal of n = 3532 students in the college. x = 1219 students confirmed that the smoke

(c) To find 95 % Confidence interval:

The sample proportion is:

95 % confidence Interval is given by:

=

= (0.329, 0.361)

So,

95% confidence interval for smokers in the college is given by 32.9 % to 36.1 %

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