In: Statistics and Probability
A lawyer wants to know if this year's clients reflect the same category of clients from the previous year. This year's clients have been 33 for divorce, 47 for civil litigation, 12 for criminal defense, 7 for copyright infringement, 21 for bankruptcy, and 14 for malpractice. Last year, 20% were for divorce, 40% for civil litigation, 10% for criminal defense, 5% for copyright infringement, 15% for bankruptcy, and 10% for malpractice. A goodness of fit test is performed, with α = 2.5%, to see if this year's clients form a similar distribution as last year's clients.
A. What is the expected value for the bankruptcy category?
B. What is the observed value for the copyright infringement category?
C. What is the (O-E)2/E value for the divorce category?
D. What is the value of the Χ2 test statistic for this goodness of fit test?
E. What is the critical value for this goodness of fit test?
F. What is the conclusion to this goodness of fit test?