Answer the questions in your own words, to show the understanding of material:
1. In order to construct a confidence interval for a population mean or proportion, we must have that the sample size is small relative to the population and the sample data must have come from a simple random sample or a randomized experiment. Explain why these conditions are necessary.
2. In order to construct a confidence interval for a population proportion, we must additionally have np(1-p) at least 10. For a population mean, we must additionally have that the population is normally distributed or the sample size is greater than or equal to 30. Explain why these conditions are necessary.
3. Discuss some of the benefits and drawbacks of constructing a confidence interval for a high confidence level, such as 99%. Discuss some of the benefits and drawbacks of using a low confidence level, such as 90%.
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