# Positive Essay Examples

positive which is the error of rejecting a null hypothesis when in fact it is true. False positive can also be described as accepting the alternative hypothesis when the findings are as a result of chance. A type I error takes place when one sees a statistically significant difference when in reality there is no difference. The likelihood of creating a type I error in a test with rejection region R is P (R | H0 is correct) (Mertler & Reinhart, 2016). On the other hand, type II error is called a false negative which is the error of accepting a null hypothesis when in fact it is false. A different definition of false negative is rejecting the alternative hypothesis when it is true. The type II...

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positive and negative of 15) e. {a N | a <-4 and a >a} Solution:It is impossible to list the elements since they are infinite in number. āNā refers to natural numbers and therefore "-4" is irrelevant. 2. List five elements in each of the following sets: d. {nN|n2 + n is a multiple of 3} Solution:The numbers are in the form n2+n=3p for some integer P hence: n={3,5,6,8,9} 9a. List all the subsets of the set {a, b, c, d} that contain Solution i.) four elements - {a,b,c,d}ii.) three elements - {a,b,c}, {a,b,d}, {a,c,d}, {b,c,d}iii.) two elements - {a,b}, {a,c}, {a,d}, {b,c}, {b,d}, {c,d}iv.) one element - {a}, {b}, {c}, {d}v.) no elements - {0} Page 49 3. Let A = {(-1,2), (4, 5), (0, 0), (6,...