Question

A survey of people in the United States between the ages of 35 and 65 asked respondents to identify whether or not they graduated from college, and whether they identified as male or female. The researchers are interested in whether there is a relationship between gender and graduating college. The results of are presented in the table below, along with the expected values for each cell. What is the Chi-Square test statistic for this data? Graduated College Did Not Graduate College Observed Value: Observed Value: 450 300 Male Expected Value: Expected Value: 428.57 321.43 Observed Value: Observed Value: 350 300 Female Expected Value: Expected Value: 371.43 278.57 26 O 5.39 O 21.43 O 85.72

Answer 1

bolun. The dala have observed values along with expected values in each sale are given, given information is as following. Graduate Did not college Graduale college 0,: observed value: 02: observed vowe: Male 450 300 Expected value: E2: Expected Value: 428.57 321:43 03: observed Value: 04: observed value: 350 300 Es: Expected value: Ey: Expected value 371.43 278.57 E, Female We know formula foy chi-square Statistic is gee = CO;. Ei)? + + il Ei Co,-E,)? (O2-E212 (OB-E3)2 Cou-E4)² E Ez E3 Eu (450-428.57)2 (300-321-43)2. (350 - 371-43)2 + (300-278-57)? 428.57 321.43 371.43 278.57 + 2 - + + = 1.0716 +1.4288 + 1.2364 + 1.6486 = 5.3855 ~ 5.9 .. chi-square test statistic for this data is Ans 5.39