Statistical and Practical Significance (1 of 4)
It is important not to confuse the confidence with which the null
hypothesis can be rejected with size of the
effect. To make this point concrete, consider a researcher assigned
the task of determining whether the video display used by travel
agents for booking airline reservations should be in color or in
black and white. Market research had shown that travel agencies were
primarily concerned with the speed with which reservations can be
made. Therefore, the question was whether color displays allow travel
agents to book reservations faster. Market research had also shown
that in order to justify the higher price of color displays, they
must be faster by an average of at least 10 seconds per transaction.
Fifty subjects were tested with color displays and 50 subjects were
tested with black and white displays. Subjects were slightly faster
at making reservations on a color display (M = 504.7 seconds) than on
a black and white display (M = 508.2) seconds. although the
difference is small, it was
statistically
significant at the .05
significance
level.
Box plots of the data are shown
below.