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In the chi-square tests, the test statistics formula uses O and E notations. Discuss the meaning...

In the chi-square tests, the test statistics formula uses O and E notations. Discuss the meaning of these notations and explain the circumstances under which the chi-square test statistic values will be smaller or larger.                  

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Answer #1

Explanaton:

O: for a observed frequency

E: for expected frequency

= row total * column total / grand total

If the null hypothesis is correct, so there is no relation between the two variables than O=E for each cell of the table and chi-squared=0 if the alternative hypothesis is correct, then O=E each entry into the chi-square calculation is large and the overall chi-square value is large

Chi-squared test:

Ho: No relationship betwwn variable O=E small chi-square value do not reject Ho

H1: relationship between O!=E large chi-squared value reject H0 accept H1

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