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Problem: It has been reported that 40% of U.S. workers employed as purchasing managers are females. In a simple random sample of U.S. purchasing managers, 70 out of the 200 are females. Given this information: Source: Bureau of the Census, Statistical Abstract of the United States 2009, p. 384.
Required:
Question 1: What is the population proportion, π?
Question 2: What is the sample proportion, p?
Question 3: What is the standard error of the sample proportion?
Question 4: In the sampling distribution of the proportion, what is the probability that a sample of this size would result in a sample proportion at least as large as that found in part (b)?
Develop a scatter diagram for the data and write a brief summary.
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