WORKSHEET 12b STAT WORKSHEET 12b Name: Teacher: Date: Write the 5-step solution for the following problems by referring to the printout if given. For problems without printout, generate the Chi-square printout using PHStat. 1. The HR manager in a certain company wants to know if age and motivation to work are related. He administered a survey on motivation, to a randomly pick sample of 80 personnel in a company. The results are summarized in the table below. Test at a=0.05 if age and motivation to work are related. Age/Motivation Highly Motivated motivated Not motivated Total Below 30 19 10 3 32 31-45 15 10 8 33 46 and above 4 3 8 15 Total 38 23 19 80 Motivation Observed Frequencies Column variable Age/Motivation HM M NM Total Below 30 19 10 3 32 30-45 15 10 8 33 Above 45 4 3 8 15 Total 38 23 19 80 Expected Frequencies Column variable Age/Motivation Below 30 30-45 Above 45 Total HM 15.2 15.675 7.125 38 M NM Total 9.2 7.6 32 9.4875 4.3125 23 7.8375 33 3.5625 15 19 80 Data Level of Significance 0.05 Number of Rows 3 Number of Columns 3 Degrees of Freedom 4 Results Critical Value 9.487728 Statistic p-Value Chi-Square Test Reject the null hypothesis 11.16138 0.024809