3. (30 points total) A survey administered in a certain socioeconomic group gathered information to assess self-esteem of male and female children. The following table summarized the data. Self-esteem Level Gender Low Medium High Total Male| 30 56 19 105 Female | 42 50 8 100 Total |72 106 27 205 ) (4 point) What percent of male children had low self-esteem? What percent of female children had low self-esteem? b) (6 points) What is the difference and corresponding 95% confidence interval in percent with low self- esteem between males and females? c) (15 points) Carry out the appropriate two-sided Hypothesis test at the 0.05 significance level by completing the following information: i) Name of hypothesis test: ii) Ho: iii) HA: iv) Test Statistic: v) p-value: vi) Decision in the context of the