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.
o. Considering both the probability value and effect size
measure, what
interpretations would you make about the findings? That is, what
are your
conclusions about the effects of leaving happy faces on checks?
Here we have two independent samples. We need to check whether tip percentages increases if drawing a happy face.
Let group 1: control group
Group 2: experimental group
Hypotheses are:
Following is the output of independent sample t test:
The t test statistics is
t = -1.55
The p-value is: 0.0651
Since p-value is greater than 0.05 so we reject the null
hypothesis. That is we can conclude that drawing a happy face
on customers’ checks increased the amount of tips received by a
waitress at an upscale restaurant on a university campus.
Effect size:
Pooled standard deviation is :
So,
Effect size is medium.