# Statistics: Chi-square

12. In a contingency table, when all the expected frequencies equal the observed frequencies the calculated 2 statistic equals 1. FALSE

13. In a contingency table, if all of the expected frequencies equal the observed frequencies, then we can conclude that there is a perfect dependence between rows and columns. TRUE

14. In performing a chi-square test of independence, as the difference between the respective observed and expected frequencies decrease, the probability of concluding that the row variable is independent of the column variable increases. TRUE

15. When we carry out a chi-square test of independence, the expected frequencies are based on the Null hypothesis. TRUE

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#### Solution Preview

12. In a contingency table, when all the expected frequencies equal the observed frequencies the calculated 2 statistic equals 1. FALSE

Since the formula is:

2= if all the expected frequencies equal the observed frequencies.

13. In a contingency table, if all of the expected frequencies equal the observed frequencies, then we can conclude that there is a perfect dependence between rows and columns. TRUE

A test of ...

#### Solution Summary

Clarifications on Chi-Square and Contingency Tables.