4. A parent advisory board for a certain university was concerned about the effect of part-time jobs on theacademic achievement of students attending the university. To obtain some information, the advisory boardsurveyed a simple random sample of 200 of the more than 20,000 students attending the university. Each studentreported the average number of hours spent working part-time each week and his or her perception of the effectof part-time work on academic achievement. The data in the table below summarize the students' responses byaverage number of hours worked per week (less than 11, 11 to 20, more than 20) and perception of the effect ofpart-time work on academic achievement (positive, no effect, negative).Average Time Spent on Part-Time JobsLess Than 11 Hours11 to 20 HoursMore Thanper Weekper Week20 Hours per WeekPerception of the Positive EffectEffect of Part-215No Effect583215Time Work onAcademicAchievementNegative Effect182319A chi-square test was used to determine if there is an association between the effect of part-time work onacademic achievement and the average number of hours per week that students work. Čomputer output thatresulted from performing this test is shown below.CHI-SQUARE TESTExpected counts are printed below observed counts<1111-20>20TotalPositive2153516.97511.2006.825No effect58321510550.92533.60020.475Negative1823196029.10019.20011.700Total976439200Chi-Sq = 13.938, DF = 4, P-Value = 0.007(a) State the null and alternative hypotheses for this test.(b) Discuss whether the conditions for a chi-square inference procedure are met for these data.(c) Given the results from the chi-square test, what should the advisory board conclude?(d) Based on your conclusion in part (c), which type of error (Type I or Type II) might the advisory board havemade? Describe this error in the context of the question.

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t of 4. A parent advisory board for a certain university was concerned about the effect of part-time jobs on the academic achievement of students attending the university. To obtain some information, the advisory board surveyed a simple random sample of 200 of the more than 20,000 students attending the university. Each student reported the average number of hours spent working part-time each week and his or her perception of the effect of part-time work on academic achievement. The data in the table below summarize the students' responses by average number of hours worked per week (less than 11, 11 to 20, more than 20) and perception of the effect of part-time work on academic achievement (positive, no effect, negative). Average Time Spent on Part-Time Jobs Less Than 11 Hours per Week 11 to 20 Hours per Week More Than 20 Hours per Week Perception of the Positive Effect Effect of Part- 21 9 5 No Effect 58 32 15 Time Work on Academic Negative Effect 18 23 19 Achievement A chi-square test was used to determine if there is an association between the effect of part-time work on academic achievement and the average number of hours per week that students work. Computer output that resulted from performing this test is shown below. CHI-SQUARE TEST Expected counts are printed below observed counts <11 11-20 >20 Total Positive 21 16.975 5 35 11.200 6.825 No effect 32 50.925 33.600 20.475 58 15 105 Negative 18 29.100 23 19.200 11.700 19 60 Total 97 64 39 200 Chi-Sq = 13.938, DF = 4, P-Value = 0.007 (a) State the null and alternative hypotheses for this test. (b) Discuss whether the conditions for a chi-square inference procedure are met for these data. (c) Given the results from the chi-square test, what should the advisory board conclude? (d) Based on your conclusion in part (c), which type of error (Type I or Type II) might the advisory board have made? Describe this error in the context of the question.

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.5: Interpreting Data

Problem 1C