Dominance of politicians For a rating experiment, researchers translated short video clips of…

Dominance of politicians For a rating experiment, researchers translated short video clips of randomly selected speeches by 30 male and 30 female politicians into animated, gender-neutral stick-figures. These animated sequences were rated (on a scale from −100 to 100) by a panel of students on the perceived dominance of the speaker. A higher rating indicates higher dominance. The following data show the average rating each speech received. (The data are also in the stickfigures.csv file.)

Male politicians: -11, 37, 40, -14, 41, -43, 19, 35, 42, 18, 2, -1, -6, 49, -6, 20, 27, -24, 19, -33, 48, 21, 26, -21, 28, -11, -7, 15, 39, -29
Female politicians: 23, 32, 12, -45, 19, 21, -25, 2, -27, -32, -26, -14, -6, 22, -22, -18, 66, 22, 3, -9, -12, -43, -1, -36, 23, 44, 9, 32, -40, -7

a. State the null and alternative hypothesis and run a permutation test (e.g., using the web app) to see whether there is a difference in the ratings on competence between female and male speakers. What is the conclusion when the significance level is 0.05?

b. Run a t test. Are results comparable to the ones from the permutation test? Why or why not?

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