Quiz 12.2D AP Statistics Name: We often judge other people by their faces. It appears that...

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Quiz 12.2D AP Statistics Name: We often judge other people by their faces. It appears that some people judge candidates for elected office by their faces. Psychologists showed head-and-shoulders photos of the two main candidates in 32 races for the U.S. Senate to many subjects (dropping subjects who recognized one or both of the candidates) to see which candidate was rated "more competent" based on nothing but the photos. On election day, the candidate whose face looked more competent won 22 of the 32 contests. If faces don't influence voting, half of all races in the long run should be won by the candidate with the better face. 1. Is there evidence that the candidate with the better face wins more than half the time? Carry out an appropriate test to help answer this question. 2. Construct and interpret a 90% confidence interval for the unknown population proportion p. Quiz 12.2D AP Statistics Name: We often judge other people by their faces. It appears that some people judge candidates for elected office by their faces. Psychologists showed head-and-shoulders photos of the two main candidates in 32 races for the U.S. Senate to many subjects (dropping subjects who recognized one or both of the candidates) to see which candidate was rated "more competent" based on nothing but the photos. On election day, the candidate whose face looked more competent won 22 of the 32 contests. If faces don't influence voting, half of all races in the long run should be won by the candidate with the better face. 1. Is there evidence that the candidate with the better face wins more than half the time? Carry out an appropriate test to help answer this question. 2. Construct and interpret a 90% confidence interval for the unknown population proportion p.