7.4

7.4 A state educational committee collected the following date in one county to see if age group and educational level are related. The counts in thousands are in the table. Do the data show that Educational Level and Age are independent? Test at the 5% level. Education Level Age Group Row Total 25-34 35-44 45-54 55-64 > 64 Did not complete HS 50 57 76 33 270 Competed HS 54 85 44 80 75 848 College 1-3 years 50 55 31 25 25 196 College 4 or more years 47 45 39 31 24 186 Column Tota 225 285 171 212 157 1000 - This is another Chi-Square test for independence. . All given 20 numbers are Observed values ( O ). Write them down in one column. E O -E (0- E) (0 - E)VE 54 64 60 47 50 85 76 80 33 25 24. Create a column for Expected values ( E ). The Rule is: for each Observed Value multiply Row Total (RT) by Column Total (CT) and divide by all total (189) : E = (RTxCT)/189 - Follow the same steps as in the previous problem 11.1.2 and complete the whole table. . Chi-Square *? will be the total of the last column . Use online Chi-Square calculator: https://www.socscistatistics.com/pvalues/chidistribution.aspx and find p-value. Degree of Freedom for given data is (4-1)(5-1) = 12. . Compare p-value to @ = 0.05 and make the conclusion