Question: c) What are type-I errors, type-II errors, and power? d) Briefly explain how each of these would change a confidence interval for a parameter .

c) What are type-I errors, type-II errors, and power? d) Briefly explain how each of these would change a confidence interval for a parameter . i) Increasing the sampling size, n, and leaving everything else equal. ii) Increasing the significance level, , and leaving everything else equal. iii) Increasing the population variance 2, and leaving everything else equal. e) What is a p-value? How are they used to test hypotheses?

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