Wilcoxon signed-ranks large sample example

 

A hostel consistently receives high ratings from its visitors and has many repeat visitors. On its comment card, it asks visitors to rate overall satisfaction on a scale from 1 to 5, 5 being best. The hostel changed its décor. It had 19 visitors who visited before and after the changes. These were the results:

 

Visitor

1

2

3

4

5

6

7

8

9

10

Before

5

5

5

3

4

3

3

5

5

5

After

2

1

3

4

4

2

1

4

5

2

Visitor

11

12

13

14

15

16

17

18

19

 

Before

4

3

4

4

3

4

5

4

4

 

After

3

1

1

5

5

2

4

2

3

 

 

Is there a significant decrease in the ratings? Test at a 1% level of significance.

 

Here is the Megastat output:

Wilcoxon Signed Rank Test

 

 

 

 

 

 

 

 

 

 

 

variables:

Before - After

 

 

 

134.5

sum of positive ranks

 

 

 

18.5

sum of negative ranks

 

 

 

 

 

 

 

 

17

 n

 

 

 

 

76.50

 expected value

 

 

 

21.12

 standard deviation

 

 

 

2.75

 z

 

 

 

 

.0030

 p-value (one-tailed, upper)