# 1. Suppose you were to toss a fair coin 50 times and were interested

| November 18, 2015

1. Suppose you were to toss a fair coin 50 times and were interested in the proportion of heads you obtained. You do the same thing again, but for 100 tosses.

a. Would the center of these two sampling distributions (n = 50 vs. n = 100) be different or the same? Why?

b. Would the spread of these two sampling distributions (n = 50 vs. n = 100) be different or the same? Why?

2. According to a study in 2012, the proportion of Americans without health insurance was 0.154. A researcher reads this and decides to conduct his own study to see if this is true. In a sample of 100 Americans, he found that 17 were uninsured.

a. What is the population proportion of Americans without health insurance?

17x.154=2.618

b. What is the proportion of Americans without health insurance in the sample of 100 Americans?

.17

c. What is the standard deviation of the sampling distribution of the sample proportion of Americans without health insurance for the sample of 100 Americans?

d. What is the mean of the sampling distribution of the sample proportion of Americans without health insurance for the sample of 100 Americans?

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