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In: Statistics and Probability

HW 17 A student decides to test a college administrator's claim that more than 40% of...

HW 17

A student decides to test a college administrator's claim that more than 40% of students have part-time jobs. She collects data, and finds that 66 out of 141 students surveyed had part-time jobs. Test the claim that more than 40% have part-time jobs at the 0.05 significance level.

*What is the null hypothesis?                            [ Select ]                       ["H0: p=0.4", "HA: p=0.4", "H0: p>0.4", "H0: p<0.5"]      

*What is the alternative hypothesis?                            [ Select ]                       ["H0: p=0.4", "HA: p=0.4", "HA: p>0.4", "H0: p>0.4"]      

*This test is                            [ Select ]                       ["two tailed", "left tailed", "right tailed"]      

*The test statistic is                            [ Select ]                       ["0.0494", "66/141", "0.468", "1.65"]      

*The P-value is                            [ Select ]                       ["0.0413", "0.0494", "66", "1.65", "0.468", "141"]      

*What is the conclusion?                             [ Select ]                       ["Reject the null hypothesis. There is insufficient evidence to conclude that more than 40% of students work part-time jobs.", "Fail to reject the null hypothesis. There is insufficient evidence to conclude that more than 40% of students work part-time jobs.", "Reject the null hypothesis. Evidence indicates the proportion of students working part-time jobs is higher than 40%.", "Fail to reject the null hypothesis. Evidence supports the claim that 40% of students work part-time jobs."]      

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