I don\'t really need help with the paper or writing portion. I want someone to s

Question

I don't really need help with the paper or writing portion. I want someone to show me how to do all of the math for questions 1-7 below.

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 suggesting 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 at 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 years 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 students 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, the proportion of all male students, and the proportion of all female students who presented

a. work copied off the internet as their own

b. copied answers off another students exam

c. 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 all male students, and the proportion of all female students who were involved in some type of cheating.

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

4. Develop 95% confidence intervals for the proportion of all students, the proportion of all male students, and the proportion of all 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 all male students, and the proportion of all female students who were involved in collaborating on an individual project.

6. Conduct a hypothesis test (using either the p-value approach or the critical value approach) to determine if the proportion of all business students at Rocky University who were not involved in some type of cheating is less than that of all business students elsewhere. Use ? = 0.05. Do not forget to include the correctly worded hypotheses.

7. What advice would you give to the dean based upon your analysis of the data? Focus your advice on answering the following: What is the magnitude of the issue? What would you recommend for both students and faculty? What is the potential impact on relationships with the business community and what would you recommend? How can this study be improved?

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

Explanation / Answer

The formula for a confidence interval for proportions is p+/- z* sqrt(p(1-p)/n). In other words the lower bound is p-z*sqrt(p(1-p)/n) and the upper bound is p+z*sqrt(p(1-p)/n)

Here n=90 (sample size for all students) z*= 1.96 (for 95% confidence interval)

So for example for all students that cheated, you just need to calculate the proportion by adding up all the students that were involved in some type of cheating and divide by 90 to get the proportion p. Sub into the formula to get the confidence interval. For males or females only you will divide, say, the number of males who cheated by the total number of males to get p, the proportion. You will have to adjust n for the total students in the sample (total males or females).

Hope this helps.

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