An article reported that 5% of married couples in the United States are mixed ra

Question

An article reported that 5% of married couples in the United States are mixed racially or ethnically. Consider the population consisting of all married couples in the United States. (a) A random sample of n = 150 couples will be selected from this population and p, the proportion of couples that are mixed racially or ethnically, will be computed. What are the mean and standard deviation of the sampling distribution of p? (Round your standard deviation to four decimal places.) mean standard deviation

Explanation / Answer

Given p = 0.05 n=150

Mean = n*p = 0.05*150 = 7.5

Standard Deviation = SQRT[(p(1-p)/n] = Sqrt[(0.05*0.95)/150] = 0.0178

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