# Chi-square test for independence

Employees of Axolotl Corporation were sampled at random from pay records and asked to complete an anonymous job satisfaction survey, yielding the tabulation shown. Research question: At alpha = .05, is job satisfaction independent of pay category?

Pay Type Satisfied Neutral Dissatisfied Total

Salaried 20 13 2 35

Hourly 135 127 58 320

Total 155 140 60 355

State the hypothesis, show how the degrees of freedom are calculated, find the critical value of chi-square, and interpret the p-value. Tell whether the conclusions is sensitive to the level of significance chosen, identify cells that contribute the most to the chi-square statistic, and check for small expected frequencies.

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Employees of Axolotl Corporation were sampled at random from pay records and asked to complete an anonymous job satisfaction survey, yielding the tabulation shown. Research question: At alpha = .05, is job satisfaction independent of pay category?

Pay Type Satisfied Neutral Dissatisfied Total

Salaried 20 13 2 35

Hourly 135 127 58 320

Total 155 140 60 355

State the hypothesis, show how the degrees of freedom are calculated, find the critical value of chi-square, and interpret the p-value. Tell whether the conclusions is sensitive to the ...

#### Solution Summary

Step by step method for computing test statistic for Chi-square test for independence for job satisfaction data .