# On average 70 of males students participated in

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students. On average 70% of males students participated in unethical behavior whereas only 60%of female students participated in unethical behavior at Bayview University. Collaborating when doing an individual project seems to be the most preferred form of cheating within the university.2.95% confidence intervals for proportions95% confidence interval for all business studentsFrom the above calculations, = 37/90 = 0.4111,Margin error = Z0.025(sqrt((1- )/n)).But Z0.025 = 1.96, Therefore margin error = 1.96(sqrt(0.4111(1-0.4111)/90)) = 0.1017This means that the confidence interval at 95% confidence level is 41.11 +/- 10.17= (30.94%, 51.28%)The 95% confidence interval for male students
Bayview University Case study 5= 0.4375, margin error = Z0.025(sqrt((1-)/n)) = 1.96(sqrt(0.4375(1-4375)/90)) = 0.1403.Therefore the confidence interval will be 43.75% +/- 14.03% = (29.72%, 57.78%)The 95% confidence interval for female students= 0.3810, margin error = Z0.025 (sqrt((1-)/n)) = 1.96 (sqrt(0.3810(1-0.3810)/90)) = 0.1469Therefore the confidence interval is 38.10% +/- 14.69% = (23.41%, 52.79%).3.Hypothesis test Hypothesis:H0: p ≥ 0.56 H1: p < 0.56Critical Value: For a left-tailed, one-sided test at alpha = 0.05, the critical value isZcritical = -1.645Test Value: ztest = X − np n * p* q = 37−(90)(0.56) (90)(0.56)(1− 0.56) = −2.8455Decision:ztest < zcritical → Reject the null hypothesisIn conclusion there is sufficient evidence at the 0.05 level of significance to support a claim that the proportion of business students at Bayview University who were involved in cheating is less than that of business students attending other institutions as reported by the article.