In a study of behavioral asymmetries, 2,391 women were asked which hand they preferred to use (e.g., to write) and which foot they preferred to use (for instance, to kick a ball). The results are reported in the table.

(a) Estimate the conditional probability that a woman is right-footed, given that she is right-handed.
(b) Estimate the conditional probability that a woman is right-footed, given that she is left-handed.
(c) Suppose we want to test the null hypothesis that hand preference and foot preference are independent. Calculate the chi-square statistic for this hypothesis.

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Preferred Preferred hand Right Right Left Left foot Right Left Right Left Total Number of women 2,012 142 121 116 2,391