Suppose when getting ready for school you make the null hypothesis that it is not going to rain. Identify which of the statements below give a type 1 and type 2 error in context and explain how you know. Then, explain which error you would like to protect more strongly against making and how you would set your signi cance level for evaluating evidence against your null accordingly.

(a) You take your umbrella to work but don't end up needing to use it because it never rains.
(b) You leave your umbrella at home and get rained on walking between classes

Which of the following statements is true? a. the irrational number system is not closed under multiplication, because the product of two irrational numbers is always a rational number. b. the irrational number system is not closed under multiplication, because the product of two irrational numbers is not always an irrational number. c. the irrational number system is closed under multiplication, because the product of two irrational numbers is always an irrational number. d. the irrational number system is closed under multiplication, because the product of two irrational numbers is always a rational numbers. reset submit