How Do You Calculate Confidence Intervals for Route Preferences?

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In summary, the conversation discusses a survey of n people and their choices between Route A and Route B. The fraction p represents those who choose Route A and the problem involves plotting the 95% confidence bounds and expected value of X as a function of n. The conversation also mentions using the Normal distribution approximation and finding the mean and standard deviation for a given n and p value.
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nickelanddimed
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Consider a survey of n people asking whether they plan to use Route A or Route B, with an anticipated fraction p choosing Route A.

If p = .30, plot the 95% confidence bounds and the expected value of X as a function of n, for n = 50 to n = 800.

I have no idea where to start or how to work it out..can someone please guide me through the problem.:mad:
 
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I have difficulty believing you have no idea! Have you been sleeping through class?

Strictly speaking, this is a "binomial distribution" problem but with n= 50 to 800, I suspect you are intended to use the Normal distribution approximation.

If p= 0.7, do you know what the mean (expected value) is for given n? Do you know how to find the standard deviation?
 

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