a. Compute the value of the x? statistic for testing the hypothesis that the opinion on optimism is independent of gender.b. Compute the proportion of men who were optimistic.c. Compute the proportion of women who were optimistic.d. Compute the test statistic z for testing the null hypothesis that the two proportions are equal versus the alternative that they are not equal.

remaining degrees of freedom left. 20. Are you an optimist? The General Social Survey asked 1373 men and 993 women in the United States whether they agreed that they were generally optimistic about the future. The results are presented in the following table. Male Female Optimistic 1148 815 Pessimistic 225 178