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Expected Counts for a Chi-Square Test for Goodness of Fit
npi
Chi-square test statistic
is a measure of how far the observed counts are from the expected counts, relative to the expected counts
X² = sum of (observed count - expected count)² / expected count
Chi-square distribution
defined by a density curve that takes only nonnegative values and is skewed to the right
Conditions for Chi-Square Goodness of Fit
Random - data comes from a random sample
10% - when sampling without replacement n<10%N
Large counts - All expected counts are at least
Note 
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