Math 222 Week 3 Quiz

MATH 222 WEEK 3 QUIZ Chapter 01.4 Exercise Question 08 1.4.8 Divine providence? Use the following information to answer the next four questions. Dr. John Arbuthnot (1667–1735) was physician to England’s Queen Anne. He was also one of the first scientists to publish a use of p-values and to apply the logic of statistical inference. His goal was to prove the existence of God, and he took as evidence the fact that for 82 years in a row male christenings had outnumbered female christenings. His argument: The p-value is so extremely tiny that the extra male births cannot be due to chance. Therefore the excess males must be due to “Divine Providence.” Here is a summary of his data: What was Dr. Arbuthnot’s research hypothesis? The long-run proportion of female births is less than 50%. The long-run proportion of male births is less than 50%. The long-run proportion of female births is greater than 50%. The long-run proportion of male births is greater than 50%. LINK TO TEXT Let π be Arbuthnot’s parameter. Tell in words what π refers to. the long-run proportion of male births the long-run proportion of female births the short-run proportion of male births the short-run proportion of female births LINK TO TEXT Explain Dr. Arbuthnot’s null hypothesis in words and then in symbols. Null: The short-run proportion of male births is 50%. Null: π=0.50. Null: The long-run proportion of female births is 50%. Null: π=0.50. Null: The short-run proportion of female births is 50%. Null: π=0.50.