The article “Unmarried Couples More Likely to Be Interracial” (San Luis Obispo Tribune, March 13, 2002) reported that 7% 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 = 100 couples will be selected from this population and ˆ 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 ˆ p?
The article “Unmarried Couples More Likely to Be Interracial” (San Luis Obispo Tribune, March 13, 2002) reported that 7% 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 = 100 couples will be selected from this population and ˆ p, the proportion of couples that are mixed racially or ethnically, will be computed. What are the
b. Is the sampling distribution of ˆ p approximately normal for random samples of size n = 100? Explain.
c. Suppose that the
d. Is the sampling distribution of ˆ p approximately normal for random samples of size n = 200? Explain.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
