Tutorial2_Stat340

Tutorial2_Stat340 - Tutorial 2 Stat 340 Spring 2010...

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Tutorial 2 Stat 340 – Spring 2010 Question 1 (Ans: A, C, E, E) In the case of binary data, we can assume that X i ~Bin(1,π) for all i from 1 to n. We may be interested in building a confidence interval for the proportion π. I) What would a formula be for the estimate of π? A) n -1 ∑ X i B) ∑ X i C) X i D) n E) None of the above. II) The distribution of the estimator of π is…? A) Exp(π) B) N(π,(1- π) π) C) N(π, n -1 (1- π)π) D) N(π n -1 , n -1 (1- π)π) E) None of the above. III) The confidence interval for a proportion is estimated using (i.e. put hats on all of the unknown parameters below since I can’t using word)…? A) π±(1- π) π B) π± n -1 (1- π) π C) π±√((1- π) π) D) π± √(n -1 (1- π) π) E) None of the above. IV) The confidence interval to compare two proportions is…? A) π±(1- π) π B) π± n -1 (1- π) π C) π±√((1- π) π) D) π± √(n -1 (1- π) π) E) None of the above. Question 2 (Ans: E, Not D, C is best but could agree with B) Tough confidence interval questions: Suppose that the 99% confidence interval is (5,10). I) The parameter is absolutely:

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Tutorial2_Stat340 - Tutorial 2 Stat 340 Spring 2010...

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