A geneticist was curious about the relationship between gender and dominant hand. They surveyed a random sample of 500 people. Here is a summary of the responses and the results from a chi-squared test:
Chi-square test: Dominant hand
vs. gender
Men
Women
Right
207
227
Expected
208.32
225.68
Left
21
27
Expected
23.04
24.96
Ambidextrous
12
6
Expected
8.64
9.36
x2 = 2.876, DF = 2, P-value = 0.237
Assume that all conditions for inference were met.
At the a = 0.05 significance level, what is the most appropriate conclusion to draw from this test?