Question

#2

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	11	2	4	5	3	7
y rank	1	3	2	4	8	11

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

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A 5% 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 5% level of significance.

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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. At the 5% level significance, we conclude that there is insufficient evidence to indicate a monotone relationship (either increasing or decreasing) between rank in training class and rank sales.

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. At the 5% level significance, we conclude that there is insufficient evidence to indicate a monotone relationship (either increasing or decreasing) between rank in training class and rank sales.

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. At the 5% level significance, we conclude that there is  a monotone relationship (either increasing or decreasing) between rank in training class and rank sales.

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. At the 5% level significance, we conclude that there is insufficient evidence to indicate a monotone relationship (either increasing or decreasing) between rank in training class and rank sales.

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. At the 5% level significance, we conclude that there is  a monotone relationship (either increasing or decreasing) between rank in training class and rank sales.

Answer 1

correct option is :

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. At the 5% level significance, we conclude that there is insufficient evidence to indicate a monotone relationship (either increasing or decreasing) between rank in training class and rank sales.