A sales manager wanted to determine if increasing sales commissions by 5% would increase employee satisfaction. Her analyst determined the p-value was 0.04. (Use α = 0.05.)

Based on the above output, what is the correct conclusion for the Wilcoxon Signed Rank Test?

a. We do not have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.
b. We do not have evidence that there is a difference in sample median employee satisfaction rating before and after the commission change.
c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.
d. We have evidence that there is a difference in sample median employee satisfaction rating before and after the commission change.

If the pvalue is less than the alpha-level, we have that there is sufficient evidence of the hypothesis for the population mean/median/standard deviation we are testing.

In this question:

Pvalue less than the alpha-level, so there is evidence that there is a difference in the population median. This means that the correct answer is given by option C.

MrRoyal MrRoyal · Answer 2 · 2021-12-05T20:37:21+01:00

The correct conclusion is: c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.

The given parameters are:

[tex]\mathbf{p = 0.04}[/tex] --- the p-value

[tex]\mathbf{\alpha = 0.05}[/tex] --- the significance value or the alpha level

From the options, we understand that the test parameter is the population median

By comparison, the p-value (0.04) is less than the alpha level (0.05)

When the p-value is less than the alpha-level, then it means that there is enough evidence of the hypothesis for the population parameter that is being tested.

Since the p-value is less than the alpha level, then it means that there is enough evidence to show the difference in the population median.

Hence, option (c) is correct

Read more about hypothesis testing at:

https://brainly.com/question/17347077