Observed and Expected counts are given for a chi-square test

Philip Ramirez

Philip Ramirez

Answered question

2022-04-21

Observed and Expected counts are given for a chi-square test for association, with the Expected counts in parentheses. Calculate the chi-square statistic for this test.
 A  B  C 133(40.4)34(31.6)33(28)222(40.4)51(31.6)27(28)3147(121.2)73(94.8)80(84)
Round your answer to three decimal places.
χ2=

Answer & Explanation

Genevieve James

Genevieve James

Beginner2022-04-22Added 12 answers

Chi-square test: The chi-square (χ2) statistic is a test that measures how a model compares to actual observed data. The data used in calculating a chi-square statistic must be random. the chi-square (χ2) test is used for the hypothesis testing.
There are two types of hypothesis tests.
1) A chi-square goodness of fit test: this test determines if sample data matches a population.
2) A chi-square test for independence: this test is used for compares two variables in a contingency table to see if they are related or not.
The test statistics can be calculated as,
χ2=(OiEi)2Ei=33.452
Therefore, the test statistic is 33.452.
Excel output:
 Observed value (O)  Expected value (E)  (O-E)^/E 3340.41.3554455453431.60.18227848133280.8928571432240.48.380198025131.611.9101265827280.035714286147121.25.4920792087394.85.01308016980840.19047619 Total 33.45225562

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