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Question - Calculating sample sizes for the two-sample problem. For a single proportion the margin of error of a confidence interval is largest for any given sample size n and confidence level C when p^ = 0.5. This led us to use p* = 0.5 for planning purposes. The same kind of result is true for the two-sample problem. The margin of error of the confidence interval for the difference between two proportions is largest when p^1 = p^2 = 0.5. You are planning a survey and will calculate a 95% confidence interval for the difference in two proportions when the data are collected. You would like the margin of error of the interval to be less than or equal to 0.075. You will use the same sample size n for both populations.
(a) How large a value of n is needed?
(b) Give a general formula for n in terms of the desired margin of error m and the critical value z*.
Find a 95% confidence interval estimate of the percentage of American adults who think their weight is about right.
If the interval of tiem between eruptions is normally distributed with standard deviation 21.25, then what is the probability that a randomly selected time interval between eruptions is longer than 95 minuntes.
The rules are the same as before: To win, the customer must uncover all three pictures of the winning prize before uncovering a zap.
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