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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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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