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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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
11 to 20 Hours
More Than
per Week
per Week
20 Hours per Week
Perception of the Positive Effect
Effect of Part-
21
5
No Effect
58
32
15
Time Work on
Academic
Achievement
Negative Effect
18
23
19
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. Čomputer 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
5
35
16.975
11.200
6.825
No effect
58
32
15
105
50.925
33.600
20.475
Negative
18
23
19
60
29.100
19.200
11.700
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.
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