In: Statistics and Probability
Recall again that Rind & Bordia (1996) investigated whether
or not drawing a happy face
on customers’ checks increased the amount of tips received by a
waitress at an upscale
restaurant on a university campus. During the lunch hour a waitress
drew a happy,
smiling face on the checks of a random half of her customers. The
remaining half of the
customers received a check with no drawing (18 points).
The tip percentages for the control group (no happy face) are as
follows:
45% 39% 36% 34% 34% 33% 31% 31% 30% 30% 28%
28% 28% 27% 27% 25% 23% 22% 21% 21% 20% 18%
8%
The tip percentages for the experimental group (happy face) are as
follows:
72% 65% 47% 44% 41% 40% 34% 33% 33% 30% 29%
28% 27% 27% 25% 24% 24% 23% 22% 21% 21% 17%
This time, you are to perform a “hypothesis test” using the tip
data, answering each of
the questions below. For short-answer questions, be brief. However,
you must give
enough detail to justify your answers. Single-sentence responses
will generally not
suffice, but do not exceed a paragraph for any given answer.
i. Obtain the appropriate test statistic. From the SPSS menus
choose Analyze
and Compare Means, followed by the appropriate test.
Ho: There is no significant difference b/w happy faces and not happy faces due to tip percentage.
H1: There is significant difference b/w happy faces and not happy faces due to tip percentage.
level of significance :0.05
Procedure in SPSS
1) Enter the data in two columns named as No_Happy_face and Happy_face resp.
2)go to analyse --> Compare means -->Paired Sample t test
Enter both variable together in paired Variable box.--> OK
Dataset
No_Happy_face |
Happy_face |
45.00 |
72.00 |
39.00 |
65.00 |
36.00 |
47.00 |
34.00 |
44.00 |
34.00 |
41.00 |
33.00 |
40.00 |
31.00 |
34.00 |
31.00 |
33.00 |
30.00 |
33.00 |
30.00 |
30.00 |
28.00 |
29.00 |
28.00 |
28.00 |
28.00 |
27.00 |
27.00 |
27.00 |
27.00 |
25.00 |
25.00 |
24.00 |
23.00 |
24.00 |
22.00 |
23.00 |
21.00 |
22.00 |
20.00 |
21.00 |
18.00 |
21.00 |
8.00 |
17.00 |
22 |
22 |
Paired Samples Statistics |
|||||
Mean |
N |
Std. Deviation |
Std. Error Mean |
||
Pair 1 |
No_Happy_face |
28.0909 |
22 |
7.81274 |
1.66568 |
Happy_face |
33.0455 |
22 |
13.95393 |
2.97499 |
Paired Samples Correlations |
||||
N |
Correlation |
Sig. |
||
Pair 1 |
No_Happy_face & Happy_face |
22 |
.888 |
.000 |
Paired Samples Test |
|||||||||
Paired Differences |
t |
df |
Sig. (2-tailed) |
||||||
Mean |
Std. Deviation |
Std. Error Mean |
95% Confidence Interval of the Difference |
||||||
Lower |
Upper |
||||||||
Pair 1 |
No_Happy_face - Happy_face |
-4.95455 |
7.88898 |
1.68194 |
-8.45232 |
-1.45677 |
-2.946 |
21 |
.008 |
Here p - value is less than 0.05 hence we reject the null hypothesis and conclude that there is significant difference in happy faces and not happy faces due to increase in tip percentage.