8 Examine the formula for the chi-square statistic x². a. If two samples are identical, what is the value of x²? Justify your answer. b. Why is it necessary to square the difference O - E? Justify your answer by giving an example of what happens if you do not.

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**8. Examine the formula for the chi-square statistic χ².**

a. If two samples are identical, what is the value of χ²? Justify your answer.

b. Why is it necessary to square the difference O – E? Justify your answer by giving an example of what happens if you do not.
Transcribed Image Text:**8. Examine the formula for the chi-square statistic χ².** a. If two samples are identical, what is the value of χ²? Justify your answer. b. Why is it necessary to square the difference O – E? Justify your answer by giving an example of what happens if you do not.
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The Chi-square test can be used to compare the distribution of a qualitative variable in one sample with that of a qualitative variable in another sample.

The Chi-square test statistic is defined as follows for the test:

χn2=i=1nOi-Ei2Ei,

where Oi and Ei is the observed and expected value, respectively. 

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