# Question

A random sample of 250 observations is taken from population A, which has 30% of its population living in poverty: πA = .3. A second random sample of size 350 is taken independently taken from population B, which has 15% of its population living in poverty: πB = .15.

a. What are the mean and standard deviation of the difference in the sample proportions, A – B?

b. Describe the shape of the sampling distribution of the difference in the sample proportions, A – B?

c. Is it appropriate to use the normal approximation to the sampling distribution of the difference in the sample proportions, A – B?

a. What are the mean and standard deviation of the difference in the sample proportions, A – B?

b. Describe the shape of the sampling distribution of the difference in the sample proportions, A – B?

c. Is it appropriate to use the normal approximation to the sampling distribution of the difference in the sample proportions, A – B?

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