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19-20. A month before the election, local residents were polled to see who their preference was in the upcoming mayoral race between Candidate O'Brien
19-20. A month before the election, local residents were polled to see who their preference was in the upcoming mayoral race between Candidate O'Brien and Candidate Riegel. Those who participated were also asked to disclose their age and classified as either under or over 40 years old. For each age group, identify the projected winner or state the race is too close to call. Assume both age groups have a margin of error of 3.6%. In the spaces provided show all relevant calculations. Explanations should be in complete sentences. 19a (1) 42.5 % of residents under age 40 support Candidate O'Brien. Calculate a 95% confidence interval for the true percentage of residents under age 40 who support Candidate O'Brien. (3 pt) 196 (m) 37.1 % of residents under age 40 support Candidate Riegel. Calculate a 95% confidence interval for the true percentage of residents under age 40 who support Candidate Riegel. (3 pt) 19c Among residents under age 40, is there a projected winner or should this race be considered too close to call? If there is a projected winner, state who it would be. Explain your conclusion by referencing your confidence intervals. (3 pt) 20a (n) 34.6 % of residents over age 40 support Candidate O'Brien. Calculate a 95% confidence interval for the true percentage of residents over age 40 who support Candidate O'Brien. (3 pt) 20b (0) 45.5 % of residents over age 40 support Candidate Riegel. Calculate a 95% confidence interval for the true percentage of residents over age 40 who support Candidate Riegel. (3 pt) 20c Among residents over age 40, is there a projected winner or should this race be considered too close to call? If there is a projected winner, state who it would be. Explain your conclusion by referencing your confidence intervals. (3 pt)
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