MATH 203 Study Guide - Quiz Guide: Central Limit Theorem, Statistical Hypothesis Testing, Standard Deviation

• School: McGill University
• Department: Economics (Arts)
• Course: MATH 203
• Professor: W.G.Wolfson

Document Summary

Q1: 8. 82 as a result of the experiment, 31,386 weevils were found dead and 35 alive. Here, we are interested in the mortality rate as a result of our experiment: a point estimate for the population parameter is: = 0. 9988861: we want to test whether the true mortality rate pm is higher than 99%. Ha : pm > 0. 99: we want to test h0 vs ha from above, using = 0. 10. Our test statistic is z = (cid:112)p0(1 p0)/n, p0 = 0. 99, and n = 35 + 31386 = 31421. We already know that p = 0. 9988861, so the test statistic value is z = 15. 83083. We reject h0 in favor of ha when z > z . Since = 0. 1, we know that z = 1. 28. 15. 83083 > 1. 28, so we reject h0 in favor of ha at the = 0. 1 signi cance level. Each weevil either lives or dies, so we have binary outcomes.