1. Compared to the ANOVA test, Chi-Square procedures are not powerful (able to detect small differences).
2. Chi-square tests are parametric in nature - requiring data that fit a specific distribution/shape.
3. The null hypothesis for the test of independence states that no correlation exists between the variables.
4. Point estimates provide less confidence in indicating a parameter's value than a confidence interval.
5. For a two sample confidence interval, the interval shows the difference between the means.
6. The Chi-square test measures differences in frequency counts rather than differences in size (such as the t-test and ANOVA).
7. For a one sample confidence interval, if the interval contains the μm , the corresponding t-test will have a statistically significant result - rejecting the null hypothesis.
8. A confidence interval is generally created when statistical tests fail to reject the null hypothesis - that is, when results are not statistically significant.
9. The probability that the actual population mean will be outside of a 98% confidence interval is
10. The Chi-square test for independence is an extension of the goodness of fit test to see if multiple groups are distributed according to expected distributions for each variable.