During the global recession of 2008 and 2009, there were many accusations of une

Question

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 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 work?

____ 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 at the bottom of the page.

Managerial Report

1-5 calculated ( no help needed)

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

Explanation / Answer

Solution:-

6)

Number of all business students at Rocky University who were not involved in some type of cheating = 10

Proportion of all business students at Rocky University who were not involved in some type of cheating = 10/90 = 0.111

Proportion of all business students who were not involved in some type of cheating = 1 - 0.86 = 0.14

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: PRocky> 0.14, proportion of all business students at Rocky University who were not involved in some type of cheating is more than or equal to that of all business students elsewhere.

Alternative hypothesis: PRocky < 0.14, 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.

Note that these hypotheses constitute a one-tailed test.

Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method, shown in the next section, is a one-sample z-test.

Analyze sample data. Using sample data, we calculate the standard deviation () and compute the z-score test statistic (z).

= sqrt[ P * ( 1 - P ) / n ]

= 0.0366

z = (p - P) /

z = - 0.7893

where P is the hypothesized value of population proportion in the null hypothesis, p is the sample proportion, and n is the sample size.

Since we have a one-tailed test, the P-value is the probability that the z-score is less than - 0.7893. We use the Normal Distribution Calculator to find P(z < - 0.7893) = 0.215

Interpret results. Since the P-value (0.215) is greater than the significance level (0.05), we have to accept the null hypothesis.

From the above test we do not have sufficient evidence in the favor of the claim that 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.

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