Researchers at the University of Pennsylvania studied the humor of late-night comedians Jon Stewart, Jay Leno, and David Letterman. Between July 15 and September 16, 2004, they performed a content analysis of the jokes made by Jon Stewart during the €œheadlines€ segment of The Daily Show and by Jay Leno and David Letterman during the monologue segments of their shows. (We will consider this a random sample of all their jokes.) We want to determine if there is an association between the comedian and the political nature of their jokes. A summary of the data they gathered was:
€¢ Leno: 315 of the 1,313 jokes were of a political nature
€¢ Letterman: 136 of the 648 jokes were of a political nature
€¢ Stewart: 83 of the 252 jokes were of a political nature
a. Organize the data into a two-way table, with the explanatory variable as the columns and the response variable as the rows.
b. What is the explanatory variable in this study? Is it categorical or quantitative?
c. What is the response variable in this study? Is it categorical or quantitative?
d. Write out the null and alternative hypotheses for this study.
e. For each comedian, calculate the conditional proportion of his jokes that were political in nature.
f. Compute the MAD statistic.
g. A null distribution was generated for this data set and is shown. Based on this distribution along with the MAD statistic, what can you say about the value of the p-value?

h. What is your conclusion based on this p-value?

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Mean = 0.022 1200 SD = 0.012 1000 800 600 400 200 0.02 0.04 0.06 0.08 Shuffled MADsS Count