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Mean and standard deviation of sample proportions


An organization is considering having a "Bring your pet to work" day. The administration takes an
of 35 of their employees and finds that 20% of those sampled are allergic to pets. Administration is considering taking more samples like this. Suppose that of all 500 employees of the organization, it's actually 10% that are allergic.
Let p^ represent the proportion of a sample of 35 employees that are allergic to pets.
What are the mean and standard deviation of the sampling distribution of p^?
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