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Figure 12.
Chi-Square Distribution
GOODNESS-OF-FIT TEST
When
analyzing data
, it is essential to know the approximate underlying distributions of the data set.
In the large set of data
, let
m
be the
number of outcomes and let
represent the probability that a randomly selected
observation will be of type
i
, where
. From the
properties of the probability
, we know the following
for all
and
.
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same amount
focus will be
actual value
simple case
represent the probability that a randomly selected 
. From the 
for all 
.