Graded Worksheet D2 Name: ________________ This needs to be completed and emailed to burelle@hartford.edu by the due date announced in Course Compass.A manufacturer uses two machines to drill holes in pieces of sheet metal used in engine construction.The production manager is interested in knowing whether one machine produces more defective drillings than the other. Here is the data from one day of production, which we will treat as a random sample from all the parts produced by the machines.NumberdefectiveNumber notdefectiveTotalMachine 1 1 1!1 """Machine " # 1$ 1#1%hole sample &! $ $'1. (se the data to fill in the following contingency table which takes )which machine* as the e+planatory variable.The sum of each row should be 1'',, e+cept for possible rounding.-efective Not defective TotalsMachine 11.!. #&.'1'',Machine ""1 .!1'',%hole sample1..1" #".##1'',". /ased on these percentage calculations, we can see that in the sample, there is a difference between the two machines.To determine whether this is a significant difference 0that is, one that suggests a difference in the entire population1, you will carry out a "2test using the following steps.a. %rite the null hypothesis using the word correlation or the word association.b. %rite the null hypothesis using words such as dependent, independent, depends on.c. 3ill in the table of e+pected counts.Expected counts -efective Not defective TotalsMachine 1#.''!! 1#.!!''."""Machine "'.!!''. 14'.''!!"4&1#1%hole sample &! $ $'(continued on reverse)Graded worksheet D2 page 2d. 3ill in the table showing the" calculation for each cell.2 calculation -efective Not defectiveMachine 11."! .".Machine "1.4! .e. 3ind the total " value, and use the 5tat6runch chi2s7uare calculator to calculate the 82value.Total +" value 9 .$.18value9 .'4f. At 9 '.'1, is there a significant difference between the two machines:;g. 3ill in the blanks.At 9 '.'4, we ????????????? 0did = did not1 find evidence that there 0is = is not1 an association between which machine it was and whether the part was defective.h. 3ill in the blanks.At 9 '.'4, we ????????????? 0did = did not1 find evidence that whether a part is defective ????????0is = is not1 dependent on which machine made the part.