Question

Part I - Do Students Really Cheat? (30%)

In a recent poll 400 students were asked about their experiences with witnessing academic dishonesty among their classmates. Suppose 172 students admitted to witnessing academic dishonesty, 205 stated they did not and 23 had no opinion. Use the sign test and a significance of 0.05 to determine whether there is a difference between the number of students that have witnessed academic dishonesty compared to those that have not.

Part II – Is There Really a Difference in Studying vs. “Obtaining Answers” (30%)

Salaries were collected by recent graduates that were placed in groups that either admitted to dishonesty during college or they were honest the entire degree. We wish to test if after graduation their salaries are the same or if there is a difference in their salaries? Use a level of significance of 0.10. Be sure to clearly state what you are testing as well as interpret your final results.

The data is as follows:

Honest | Dishonest

43500 13500

32700 32500

36800 33000

53000 12900

47690 33500

32255 32400

81000 18850

35000 21500

42555 39500

55000 22600

42000 53000

32500 41900

41400 32800

43000 41000

Answer 1

43500	13500
32700	32500
36800	33000
53000	12900
47690	33500
32255	32400
81000	18850
35000	21500
42555	39500
55000	22600
42000	53000
32500	41900
41400	32800
43000	41000

Excel

data -> data analysis -> t-test assuming equal variance

t-Test: Two-Sample Assuming Equal Variances
	HONEST	DISHONEST
Mean	44171.42857	30639.28571
Variance	163771363.2	133325453.3
Observations	14	14
Pooled Variance	148548408.2
Hypothesized Mean Difference	0
df	26
t Stat	2.937525144
P(T<=t) one-tail	0.00342282
t Critical one-tail	1.314971864
P(T<=t) two-tail	0.00684564
t Critical two-tail	1.70561792

p-value for two-tail = 0.0068 < alpha (0.10)

hence we reject the null hypothesis

we conclude that there is evidence that after graduation their salaries are different