Question

A recent graduate has a chance to apprentice for each of the four major airlines. She wants to work for a company that relies less on part time contractors and more on full time or management employment in the company. She takes a sample to test whether there is an association between airline and employment category at the firm. Chi-Square Test for Association: C8, Worksheet columns Rows: C8 Columns: Worksheet columns Delta JetBlue United American All PartTime 67 33 50 55 205 51.01 51.97 50.53 51.49 5.0128 6.9255 0.0055 0.2392 FullTime 34 69 51 45 199 49.52 50.45 49.05 49.98 4.8622 6.8201 0.0776 0.4969 Mgt 5 6 4 7 22 5.47 5.58 5.42 5.53 0.0411 0.0320 0.3732 0.3933 All 106 108 105 107 426 Cell Contents Count Expected count Contribution to Chi-square Chi-Square Test Chi-Square DF P-Value Pearson 25.279 6 0.000 Likelihood Ratio 25.781 6 0.000

What is the formula for the Chi Square contribution Row 1, Column 1.

(67*205)/426

(67-51)2/51

(205*106)/426

(67-51)2/67

Answer 1

From the given information,

The required correct answer is,

Chi-Square= (67-51)2/51

i.e., Second option is correct.

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