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A largeelectronics company that hires many workers with disabilities wantsto det

ID: 2952620 • Letter: A

Question


A largeelectronics company that hires many workers with disabilities wantsto determine whether their disabilities affect such workersperformance. Use the level of significance =0.05 to decideon the basis of the sample data shown in the following tablewhether it is reasonable to maintain that the disabilities have noeffect on the workers performance:

Performance

Below Average

Average

Above Average

Blind

21

66

17

Deaf

22

72

17

No disability

31

103

26

H0 :    Handicap and performance are(dependent / independent)

Ha :    Handicap and performance are(dependent / independent)

b-      Calculate X2

c-       We (reject/can not reject)H0



A largeelectronics company that hires many workers with disabilities wantsto determine whether their disabilities affect such workersperformance. Use the level of significance =0.05 to decideon the basis of the sample data shown in the following tablewhether it is reasonable to maintain that the disabilities have noeffect on the workers performance:

Performance

Below Average

Average

Above Average

Blind

21

66

17

Deaf

22

72

17

No disability

31

103

26

H0 :    Handicap and performance are(dependent / independent)

Ha :    Handicap and performance are(dependent / independent)

b-      Calculate X2

c-       We (reject/can not reject)H0




Explanation / Answer

Chi-Square Test: Belowaverage, Average, Above average

Expected counts areprinted below observed counts
Chi-Square contributions are printed below expectedcounts

              Below                    Above
            average      Average average Total
Blind        21             66          17     104
            20.52       66.84     16.64
           0.011       0.010       0.008

Deaf      22            72           17        111
         21.90       71.34       17.76
          0.000         0.006       0.033

  No       31          103           26       160
disabi-    31.57   102.83       25.60
-lity        0.010   0.000        0.006

Total        74          241           60        375

H0:    Handicap and performanceare independent

Ha:    Handicap and performance are dependent

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