It is the chi-squared statistic which is the sum of (O-E)2/E, summed over all the categories.
O is the observed value in each category and E is the expected value under your hypothesis. You may need to merge categories to ensure that E > 5 and so avoid excessive importance being attached to small categories.
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Chi-Square Goodness-of-fit Test is used when you want to test if the sample observed follows an assumed theoretical distribution.
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Chi-square is mainly used for a goodness of fit test. This is a test designed to assess how well a set of observations agree with what might be expected from some hypothesised distribution.
Advanced Placement Statistics is a college level course offered in high schools in the United States. Many students study for the AP Statistics test 9B by using answer keys that previous test takers have created.
Expected frequencies are used in a chi-squared "goodness-of-fit" test. there is a hypothesis that is being tested and, under that hypothesis, the random variable would have a certain distribution. The expected frequency for a "cell" is the number of observations that you would expect to find in that cell if the hypothesis were true.