Question

Suppose a company takes a random sample of its casual and full-time employees and asks them...

Suppose a company takes a random sample of its casual and full-time employees and asks them to anonymously report whether they feel valued, with the results summarised in the table below:

Feel valued

Do not feel valued

Total

Full-time

38

17

55

Casual

24

27

51

Total

62

44

106

Based on the SPSS output from a chi-squared test of independence presented below, what is the value of the test statistic?

0.021

5.330

4.422

5.291
Math   Statistics-And-Probability   
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Answer:

Observed values are

Feel valued Do not feel valued Total
Full-time 38 17 55
Casual 24 27 51
Total 62 44 106

Expected values are

Feel valued Do not feel valued Total
Full-time 32.1698113 22.8301887 55
Casual 29.8301887 21.1698113 51
Total 62 44 106

= 1.056615+1.48886+ 1.139487+ 1.60564 = 5.291

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