# ex2_fa06 - STA 6126 Fall 2006 Exam 2 PRINT Name A research...

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STA 6126 Fall 2006 Exam 2 PRINT Name ____________ A research article conducts a significance test to determine whether the mean food expenditures differ among families in two societies. Their 95% Confidence Interval for μ 2 1 is (32 , 48). Which of these statements best describes the P-value for testing H 0 : μ 2 1 = 0 vs H A μ 2 1 0: a) P-value 0.05 b) P-value 0.95 c) P-Value < 0.05 d) We need more information to obtain the P-value Two graduate students obtain individual random samples of members of the Graduate Student Union at their large university. They ask each sampled student whether they favor a candidate for the president of their union. Satchel samples 100 students, of which 45 favor the candidate. Lee samples 200 students, of which 110 favor the candidate. Whose 95% confidence interval for the true proportion of all graduate students will be narrower (more precise)? Why? Assume that the university has over 10,000 graduate students so that the sample sizes are negligible relative to the population. a) Satchel’s because of a lower proportion b) Satchel’s because of a lower sample size c) Lee’s because of a higher proportion d) Lee’s because of a higher sample size e) They will be the same, since .45(1-.55) = .55(1-.45) For a large-sample test of H 0 : μ = 0 vs H A : μ < 0, the z -test statistic is 0.40. Give the P-value: a) .3446

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