Practitioners measured spiritual well-being (SWB) in a sample of 16 adults who w

Question

Practitioners measured spiritual well-being (SWB) in a sample of 16 adults who were alcoholic before and following treatment for alcoholism.

Change in SWB
Following Treatment

+11

+6

3

7

+13

8

+5

+10

+20

2

1

+14

4

+12

+15

+9

Use the normal approximation for the Wilcoxon signed-ranks T test to analyze the data above. (Round your answer to two decimal places.)
z =

State whether to retain or reject the null hypothesis. (Assume alpha equal to 0.05.)

Retain the null hypothesis. Reject the null hypothesis.

Change in SWB
Following Treatment

+11

+6

3

7

+13

8

+5

+10

+20

2

1

+14

4

+12

+15

+9

Explanation / Answer

H0: difference between the pairs follows a symmetric distribution around zero

H1: difference between the pairs does not follow a symmetric distribution around zero.

Here the sign and difference order is :

Now weriting in ascending order with rank

So here W = 86

Here W =  sqrt [Nr(Nr +1)(2Nr +1)/6] here Nr = 16

W = sqrt [16 * 17 * 33/6] = 38.678

here Z = W/W = 86/38678 = 2.2235 or 2.22

Here critical value of Z for alpha = 0.05 is Zcr = 1.96

so Z > Zcritical so we shall reject the null hypothesis.

Change in SWB Following Treatment Absolute difference Sign 11 11 + -3 3 - 13 13 + 5 5 + 20 20 + -1 1 - -4 4 - 15 15 + 6 6 + -7 7 - -8 8 - 10 10 + -2 2 - 14 14 + 12 12 + 9 9 +

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.