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kati45 [8]
3 years ago
8

A sales manager wanted to determine if increasing sales commissions by 5% would increase employee satisfaction. Her analyst dete

rmined 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.
Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0

Answer:

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

Step-by-step explanation:

Pvalue is less than the alpha-level:

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.

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Answer: Hello!

ok, remember that "if and only if" implies that you need to prove the statement in both ways, this is represented with the ⇔ usually.

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In this type of problems, i  find very useful start looking for some counterexample.

In this case, suppose that A = {1,2,3,4,5} , B = {3,4,5,6,7} and C = {3,4,5,6}

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then A∩B ⊂ C

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b) For any sets A, B and C, A ⊆ B ∩ C if and only if both A ⊆ B and A ⊆ C.

the first way is true; because if A ⊆ B ∩ C. then all the elements of A are in the intersection of B and C (which are common elements for B and C) and then all the elements of A are in the set B and in the set C, and this means that A ⊆ B and A ⊆ C.

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