A group of researchers wondered whether there was an association between handedness and which foot was longest. They took a random sample of people, measured their feet, and recorded their handedness. Here are
the outcomes and partial results of a chi-square test (expected counts appear below observed counts):
20
Chi-square test: Handedness vs. longer foot
Ambidextrous Left-handed Right-handed Total
Left foot
6
94 120
7.2
13.2
99.6
Right foot
10
13
97 120
7.2
13.2
99.6
Same length
20
33
307 360
21.6
39.6
298.8
Total
36
66
498 600
They want to use these results to carry out a x’ test of association. Assume that all conditions for inference
were met.
What are the values of the test statistic and P-value for their test?