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. |
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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