A Southern State Has an Unemployment Rate of 6

Short Answer

A southern state has an unemployment rate of 6%. The state conducts monthly surveys in order to track the unemployment rate. In a recent month, a random sample of 700 people showed that 35 were unemployed.
If the true unemployment rate is 6%, describe the sampling distribution of . Is the sampling distribution of the sample proportion approximately normal?
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What is the mean?
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What is the standard deviation?
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Find the probability that the sample unemployment rate is at most 5%.
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Assume the population proportion, p, is unknown. Describe the sampling distribution of based on the most recent sample. Is the sampling distribution of the sample proportion approximately normal?
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What is the mean?
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What is the standard deviation?
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Based on the most recent sample, find the probability that the sample proportion will lie within 0.005 of the true proportion p of people who are unemployed.
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