The Central Limit Theorem is important because it enables us to calculate probabilities about sample means. Based on the 2000 Census, 31.

The Central Limit Theorem is important because it enables us to calculate probabilities about sample means. Based on the 2000 Census, 31.8% of grandparents in California are the primary caregivers for their grandchildren. Suppose n = 1000 persons are to be sampled from this population and the sample proportion of grandparents as primary caregivers (-hat) is to be calculated. What is the mean of the sampling distribution of -hat?