MY NOTES A campaign manager for a gubernatorial hopeful believes that her candidate may see a significant difference in favorability between female and male voters. She takes a random sample of 275 females likely to vote and a random sample of 215 males likely to vote. She produces the following 95% condence interval for of - pm: (-0.03, 0.05). a) Interpret this confidence interval. 0 She should be 95% condent that females view her candidate between 3 percentage points less favorably than males and 5 percentage points more favorably than males. 0 She should be 95% condent that a follow-up sample of these two groups would produce a difference in sample proportions that favor her candidate between -0.03 and 0.05. 0 She should be 95% condent that the true proportion of females that favor her candidate and the true proportion of males that favor her candidate should both be between -0.03 and 0.05. 0 She should be 95% condent that, among these 275 females and 215 males, the difference in the proportion of each group that favored her candidate was between -0.03 and 0.05. b) Which of the following conclusions is most appropriate? 0 With 95% confidence, the data suggest that there is a difference between the proportions of females and males that favor the candidate since 0 is included in the interval. 0 With 95% confidence, the data do not suggest that there is a difference between the proportions of females and males that favor the candidate since 0 is not included in the interval. 0 With 95% confidence, the data do not suggest that there is a difference between the proportions of females and males that favor the candidate since 0 is included in the interval. O With 95% confidence, the data suggest that there is a difference between the proportions of females and males that favor the candidate since the observed difference in the proportion who favor the candidate is negative. 0 With 95% confidence, the data do not suggest that there is a difference between the proportions of females and males that favor the candidate since the observed difference in the proportion who favor the candidate is positive. 5-- The Center of Investigative Renorting recently did a story on racial disparities in youth sentencing in Mississippi. In the story, they alleged that black youths in Mississippi were tried and sentenced as adults more frequently than other youths of other demographics. Suppose that you were given the following data on the situation. Where appropriate, use 3 decimal places. Non- Race Black White Black/Non- Total White Population % 49% 49% 2% 100% Tried as Adult 3150 966 84 4200 (a) What test would they have performed to see if black youths were tried as adults disproportionately to their share of the population? 0 Paired t-test O Chi-Square Goodness of Fit 0 Chi-Square Test of Independence O Two-sample t-test (b) The Center concluded that black youths were tried as adults more frequently than the other races. What does that tell you about the contribution to the test statistic and the p-value? O The contribution to the test statistic for Black was far from 0, and the p-value was close to 0. O The contribution to the test statistic for Black was close to 0, and the p-value was close to O. 0 We cannot say anything about the contribution to the test statistic for Black or the p-value. O The contribution to the test statistic for Black was far from 0, and the p-value was far from 0. O The contribution to the test statistic for Black was close to 0, and the p-value was far from 0. (c) What is the expected count for White? S