Question

# Part I - Do Students Really Cheat? (30%) In a recent poll 400 students were asked...

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

 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

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