Develop confidence intervals for the proportion of students

Question

Discussion:

During the global recession of 2008 and 2009, there were many accusations of unethical behavior by Wall Street executives, financial managers, and other corporate officers. At that time, an article appeared that suggested that part of the reason for such unethical business behavior may stem from the fact that cheating has become more prevalent among business students. The article reported that 86% of business students admitted to cheating at some time during their academic career as compared to 77% of non-business students.

Cheating has been a concern of the dean of the College of Business at Rocky University for several years. Some faculty members in the college believe that cheating is more widespread at Rocky than at other universities, while other faculty members think that cheating is not a major problem in the college. To resolve some of these issues, the dean commissioned a study to assess the current ethical behavior of business students at Rocky. As part of this study, an anonymous exit survey was administered to a sample of 90 business students from this year's graduating class. Responses to the following questions were used to obtain data regarding three types of cheating.

During your time at Rocky, did you ever present work copied off the Internet as your own?

Yes

No

During your time at Rocky, did you ever copy answers off another student's exam?

Yes

No

During your time at Rocky, did you ever collaborate with other students on projects that were supposed to be completed individually?

Yes

No

Any student who answered Yes to one or more of these questions was considered to have been involved in some type of cheating. The complete data set is in the file named Rocky.

Managerial Report

Prepare a report (see below) for the dean of the college that summarizes your assessment of the nature of cheating by business students at Rocky University. Be sure to include the following seven (7) items in your report.

1. To summarize the data, compute the proportion of all students, male and female, who presented work copied off the Internet as their own, copied answers off another student's exam, or collaborated with other students on projects that were supposed to be completed individually. Then comment on your findings.

2. Develop 95% confidence intervals for the proportion of all students--the proportion of male students and the proportion of female students--who were involved in some type of cheating.

3. Develop 95% confidence intervals for the proportion of all students--the proportion of male students and the proportion of female students--who were involved in copying off the Internet.

4. Develop 95% confidence intervals for the proportion of all students--the proportion of male students and the proportion of female students--who were involved in copying off another's exam.

5. Develop 95% confidence intervals for the proportion of all students--the proportion of male students and the proportion of female students--who were involved in collaborating on what was meant to be an individual project.

6. Conduct a hypothesis test to determine if the proportion of business students at Rocky University who were not involved in some type of cheating is less than that of business students elsewhere. Use α = 0.05.

7. What advice would you give to the dean based upon your analysis of the data?

Student	Copied from Internet	Copied on Exam	Collaborated on Individual Project	Gender
1	NO	NO	YES	Female
2	NO	YES	YES	Female
3	YES	NO	YES	Female
4	NO	YES	NO	Female
5	YES	YES	NO	Male
6	NO	NO	YES	Male
7	YES	YES	YES	Female
8	NO	NO	YES	Female
9	YES	YES	YES	Female
10	NO	NO	YES	Female
11	YES	NO	YES	Male
12	YES	YES	NO	Female
13	NO	NO	YES	Female
14	NO	YES	NO	Male
15	YES	YES	YES	Male
16	YES	YES	NO	Female
17	NO	YES	NO	Female
18	YES	YES	YES	Female
19	YES	YES	NO	Male
20	YES	YES	NO	Female
21	NO	NO	NO	Male
22	YES	YES	NO	Female
23	NO	YES	YES	Female
24	NO	YES	NO	Male
25	NO	YES	NO	Female
26	YES	YES	YES	Female
27	NO	YES	NO	Female
28	NO	NO	NO	Female
29	YES	NO	NO	Male
30	NO	YES	NO	Female
31	NO	NO	YES	Female
32	YES	NO	YES	Male
33	YES	NO	NO	Female
34	YES	YES	YES	Male
35	NO	NO	YES	Male
36	YES	NO	NO	Male
37	YES	YES	YES	Female
38	YES	NO	NO	Male
39	YES	NO	YES	Male
40	YES	NO	NO	Female
41	NO	YES	YES	Female
42	NO	YES	YES	Male
43	YES	NO	YES	Male
44	NO	YES	YES	Female
45	YES	NO	YES	Female
46	YES	NO	YES	Male
47	NO	YES	NO	Female
48	NO	YES	YES	Female
49	NO	NO	YES	Male
50	YES	NO	NO	Female
51	YES	NO	NO	Female
52	NO	YES	NO	Male
53	YES	NO	NO	Female
54	YES	NO	NO	Female
55	YES	NO	NO	Male
56	NO	YES	NO	Male
57	YES	NO	YES	Male
58	YES	NO	NO	Female
59	NO	YES	YES	Female
60	YES	NO	YES	Female
61	YES	YES	NO	Male
62	YES	YES	NO	Female
63	YES	YES	YES	Male
64	NO	YES	NO	Female
65	YES	NO	YES	Female
66	YES	NO	YES	Male
67	NO	NO	YES	Female
68	YES	NO	YES	Male
69	NO	NO	NO	Male
70	YES	NO	NO	Male
71	YES	NO	YES	Female
72	NO	YES	NO	Female
73	NO	NO	NO	Male
74	YES	NO	NO	Male
75	YES	NO	YES	Male
76	NO	YES	NO	Female
77	NO	YES	YES	Male
78	YES	NO	YES	Female
79	YES	YES	NO	Female
80	NO	NO	YES	Female
81	NO	NO	YES	Female
82	NO	YES	YES	Male
83	NO	YES	YES	Male
84	YES	NO	NO	Male
85	YES	YES	NO	Female
86	YES	YES	YES	Male
87	NO	YES	NO	Male
88	NO	YES	NO	Female
89	NO	NO	NO	Male
90	YES	YES	NO	Female