solution

Consider the following survey on job satisfaction based on income level. For the survey, 2604 respondents at various
income levels were asked if they were satisfied or dissatisfied with their jobs. The contingency table is shown for the results.
We would like to do a dependency test at 0.05 level of significance to know if there is some relationship between income and job satisfaction.
Observed values:
High ($75k+) Medium ($45k to $74.99k) Low (less than $45k) Total
Satisfied 750 385 408
Dissatisfied 475 260 326
Total
a) [2 pt] Write down the null and alternative.
b) [4 pts] Fill out the table for the expected values. (round to 2 decimals)
Expected values:
High Medium Low
Satisfied
Dissatisfied
c) [4 pts] Fill out the table for the chi square components. (round to 2 decimals)
Chi Square components:
High Medium Low
Satisfied
Dissatisfied
d) [1 pt] Calculate the test statistic.
e) [2 pt] Calculate the p-value.
f) [2 pt] Can it be concluded that there is a relationship between income and job satisfaction? Why? Explain the conclusion.