Statistic question 12 This is a paperwork Please show me how

Statistic question 12

This is a paperwork. Please show me how to do it.

In a study of behavioral asymmetries, 2,391 women were asked which hand they preferred to use (for instance, to write) and which foot they preferred to used (for instance, to kick a ball). The results are reported in the following table. (Is this table in a good format for this question?)

2012

(a) Estimate the conditional probability that a women is right-footed, given that she is righthanded.
(b) Estimate the conditional probability that a women 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. State the null and alternative hypotheses. Then calculate the chi-square statistic for this hypothesis along the the P-value.
(d) Suppose we want to test the null hypothesis that right-handed women are equally likely to be right-footed or left-footed. State the null and alternative hypotheses. Then calculate the chi-square statistic for this hypothesis along the the P-value.

Solution