Question 1 A candidate for mayor studies partial results of the latest polls on the coming election. In one poll, 36 women over 82 people vote for her party, whereas in another one, 44 men over 76 people are in her favour. It is relevant to mention that in all polls, 30% of the voters are still undecided. Assuming undecided electors vote proportionally to the actual figures, perform the appropriate statistical analysis to determine if the candidate should focus her campaign more toward men to gain votes over her opponents. Please answer the questions below. 1) Give a justification of the statistical test you selected. A reference to a one- tailed or a two-tailed test is not accepted 2) Choose the appropriate alternative hypothesis A 9 H,: The proportion of men is equal to the proportion of women B 9 Ha: The proportion of men is different from the proportion of women C 9 H,: The proportion of men is larger than the proportion of women D 9 H,: The proportion of men is smaller than the proportion of women 3) Give the proportion of women 4) Give the proportion of men 5) Give the value of the test statistic 6) Give the critical value 7) Give your interpretation of the results of the statistical test