I need help with the hypothesis testing please. During the global recession of 2

Question

I need help with the hypothesis testing please.

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 test?

____ 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, linked at the bottom of the page.

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.

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 work copied off the internet as their own

copied answers off another student’s test

collaborated with other students on projects that were supposed to be completed individually.  
Then comment on your findings.

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.

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.

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 test.

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.

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.

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?

Male

Copied from Internet Copied on test Collaborated on Individual Project Gender NO NO YES Female YES YES NO Male YES NO NO Male YES YES YES Female YES YES NO Male YES YES NO Female NO NO YES Male NO NO NO Female NO NO YES Female NO NO NO Female NO NO NO Male NO YES NO Female NO YES YES Male NO NO YES Male NO YES YES Female NO YES NO Female NO YES YES Female NO YES NO Female YES YES YES Male NO YES YES Male YES NO NO Male NO YES YES Female NO YES NO Male NO NO YES Female YES YES YES Male YES YES NO Female YES NO NO Male NO NO YES Female YES YES NO Female YES NO YES Female NO YES NO Female YES YES YES Male YES YES NO Female NO NO NO Female NO YES NO Female NO YES NO Male NO NO NO Male NO YES YES Male YES NO YES Female NO NO NO Female YES NO NO Male NO NO NO Male YES YES YES Female NO YES YES Male YES NO YES Female YES YES YES Male NO YES NO Male NO YES NO Female NO YES YES Female NO NO YES Male YES YES NO Male YES NO NO Female YES NO YES Female NO YES YES Female NO NO NO Male NO NO NO Female YES YES NO Female NO NO NO Male YES NO YES Female YES YES NO Female NO YES NO Male YES NO YES Male NO NO YES Female NO NO YES Male YES NO NO Male YES NO YES Male NO YES YES Male NO NO NO Female NO NO YES Female NO YES YES Male NO YES YES Male NO NO YES Male NO YES NO Male NO NO NO Male YES NO NO Male YES NO YES Female NO NO YES Female NO NO YES Female YES YES YES Male NO YES YES Male NO NO YES Male YES YES NO Male YES YES YES Female NO YES YES Male NO YES YES Male NO NO YES Male NO NO YES Male YES YES YES Male NO YES YES Male NO NO NO

Male

Explanation / Answer

Hypothesis: Since 86% of all the business students elsewhere are involved in some type of cheating. So the proportion of them who were not involved in cheating is = .14

so our hypothesis of interest is

Ho: p= .14 vs H1: p<.14

now from the data proportion calculated is p=.1444 (13/90)

so the test statistic is given by t= (p-.14)/sqrt(.14*(1-.14)/n)

now under Ho t follows N(0,1)

so we reject H0 at 5% level of significance if t<Z1-.05

here t= .121

and Z1-.05 = -1.64

therefore t> Z1-.05

Thus we accept the null hypothesis and we may conclude that the proportion of students at Rocky not cheating is same as students elsewhere

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---