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A data processing company has a training program for new salespeople. After completing the training program,...

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.
Math   Statistics-And-Probability   
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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.

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