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  3. the table below summarizes the replies of 300 rand

The table below summarizes the replies of 300 randomly selected university graduates who participated in a...

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Question

Statistics

The table below summarizes the replies of 300 randomly selecteduniversity graduates who participated in a nationwide survey:

Degree of Job SatisfactionTotal
HighLow or Moderate

Type of Program

While Studying

Professional Count7921100
Expected
Non-Professional Count13169200
Expected
Total21090300

(a) Determine the expected numbers, assuming the degree of jobsatisfaction is independent of type of program taken at university(i.e. there is some association between degree of job satisfactionand the type of program). Fill your answers into the tableabove.

(b) Use the Chi-square test with α = 0:05 to test the hypothesisthat the degree of job satisfaction depends on the type of programtaken at university.

i) H0:

Ha:

Observed Test Statistic (x2 statistic):

ii) p-value (use x2 table):

Decision with justification:

Conclusion in context:

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