Question

A data processing company has a training program for new salespeople. After completing the training program, each trainee is ranked by his or her instructor. After a year of sales, the same class of trainees is again ranked by a company supervisor according to net value of the contracts they have acquired for the company. The results for a random sample of 11 salespeople trained in the last year follow, where x is rank in training class and y is rank in sales after 1 year. Lower ranks mean higher standing in class and higher net sales.

Person	1	2	3	4	5	6
x rank	8	11	2	4	5	3
y rank	7	10	1	3	2	4

Person	7	8	9	10	11
x rank	7	9	10	1	6
y rank	8	11	9	6	5

A 7% level of significance is used test the claim that the relation between x and y is monotone (either increasing or decreasing). State the conclusion of the test and interpret your results with a 7% level of significance.

	a.	Since the P-value is greater than the given level of significance, the data are statistically significant. Based on this, we do not reject the null hypothesis.
	b.	Since the P-value is greater than the given level of significance, the data are not statistically significant. Based on this, we do not reject the null hypothesis.
	c.	Since the P-value is less than the given level of significance, the data are not statistically significant. Based on this, we do not reject the null hypothesis.
	d.	Since the P-value is greater than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis.
	e.	Since the P-value is less than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis.

Answer 1

Option E is correct

Since the P-value is less than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis.