(1) Horror Films: A random sample of 209 US adults found that 45 of the 107 females in the sample enjoy watching horror films and that 59 of the 102 males in the sample enjoying watching horror films. With pf denoted the proportion of all US females who enjoy watching horror films and pm denoted the proportion of all US males who enjoy watching horror films, find and interpret a 90% confidence interval for pf − pm. (2) Part-time Jobs: Are college students more likely than high school students to have a part-time job? A recent study found that 21 out of a random sample of 51 college students had part-time jobs and that 12 out of a random sample of 40 high school students had part-time jobs. At the 5% level of significance, do these samples provide evidence that college students are more likely than high school students to have a part-time job? Be sure to clearly state the null and alternative hypothesis, calculate the test statistic and p-value, state the conclusion of the test, and interpret the result in context.
(1) Horror Films: A random sample of 209 US adults found that 45 of the 107 females in the sample enjoy watching horror films and that 59 of the 102 males in the sample enjoying watching horror films. With pf denoted the proportion of all US females who enjoy watching horror films and pm denoted the proportion of all US males who enjoy watching horror films, find and interpret a 90% confidence interval for pf − pm.
(2) Part-time Jobs: Are college students more likely than high school students to have a part-time job? A recent study found that 21 out of a random sample of 51 college students had part-time jobs and that 12 out of a random sample of 40 high school students had part-time jobs. At the 5% level of significance, do these samples provide evidence that college students are more likely than high school students to have a part-time job? Be sure to clearly state the null and alternative hypothesis, calculate the test statistic and p-value, state the conclusion of the test, and interpret the result in context.
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