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1. The results of ComputerWorld’s annual job satisfaction exercise showed that 28 percent of
information systems managers are very satisfied with their job, 46 percent are somewhat
satisfied, 12 percent are neither satisfied nor dissatisfied, 10 percent are somewhat satisfied, and
4 percent are very dissatisfied. Suppose that a sample of 500 computer programmers yielded the
following results.
Category Number of respondents
Very Satisfied 105
Somewhat satisred 235
Neither 55
Somewhat dissatisfied 90
Very dissatisfied 15
Taking the ComputerWorld figures a ‘population’ values, use =0.05 and test to determine
whether the job satisfaction for computer programmers is different from the job satisfaction for
information system managers.
To test whether the job satisfaction for computer programmers is different from the job satisfaction
for information systems managers, use a chi-square goodness of fit test. This test compares the
observed frequencies (from the sample of computer programmers) to the expected frequencies
(based on the population proportions from ComputerWorld’s survey).
Step 1: State the Hypotheses
Null Hypothesis (H₀): The distribution of job satisfaction for computer programmers is the
same as for information systems managers.
Alternative Hypothesis (H₁): The distribution of job satisfaction for computer programmers is
different from that of information systems managers.
Step 2: Calculate Expected Frequencies
The population proportions from ComputerWorld are as follows:
Very satisfied: 28% = 0.28
Somewhat satisfied: 46% = 0.46
Neither: 12% = 0.12
Somewhat dissatisfied: 10% = 0.10
Very dissatisfied: 4% = 0.04
Since we have a sample of 500 computer programmers, we calculate the expected number of
respondents in each category by multiplying the population proportions by the total sample size
(500).
1. The results of ComputerWorld’s annual job satisfaction exercise showed that 28 percent of
information systems managers are very satisfied with their job, 46 percent are somewhat
satisfied, 12 percent are neither satisfied nor dissatisfied, 10 percent are somewhat satisfied, and
4 percent are very dissatisfied. Suppose that a sample of 500 computer programmers yielded the
following results.
Category Number of respondents
Very Satisfied 105
Somewhat satisred 235
Neither 55
Somewhat dissatisfied 90
Very dissatisfied 15
Taking the ComputerWorld figures a ‘population’ values, use =0.05 and test to determine
whether the job satisfaction for computer programmers is different from the job satisfaction for
information system managers.
To test whether the job satisfaction for computer programmers is different from the job satisfaction
for information systems managers, use a chi-square goodness of fit test. This test compares the
observed frequencies (from the sample of computer programmers) to the expected frequencies
(based on the population proportions from ComputerWorld’s survey).
Step 1: State the Hypotheses
Null Hypothesis (H₀): The distribution of job satisfaction for computer programmers is the
same as for information systems managers.
Alternative Hypothesis (H₁): The distribution of job satisfaction for computer programmers is
different from that of information systems managers.
Step 2: Calculate Expected Frequencies
The population proportions from ComputerWorld are as follows:
Very satisfied: 28% = 0.28
Somewhat satisfied: 46% = 0.46
Neither: 12% = 0.12
Somewhat dissatisfied: 10% = 0.10
Very dissatisfied: 4% = 0.04
Since we have a sample of 500 computer programmers, we calculate the expected number of
respondents in each category by multiplying the population proportions by the total sample size
(500).
