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1. For hypothesis tests for independence and homogeneity, we always perform righ

ID: 3154138 • Letter: 1

Question

1. For hypothesis tests for independence and homogeneity, we always perform right-tailed tests. In other words, the critical region is always in the right-most portion of the distribution. Why are they always right-tailed? In other words, why do we reject the null hypothesis when the test statistic is in the rightmost portion of the distribution?

2. In conducting a test for goodness-of-fit, does an outlier have much of an effect on the value of the 2 statistic? If you need a hint, try to replace a value in one of the Problem Set problems with a much larger value, and see what happens. Describe the general effect of an outlier.

Explanation / Answer

1. This is because if the null hypothesis is not true, then there will be large discrepancies between the expected and observed values. Thus, that would yield large chi^2 values.

Therefore, if Ho is true, then the unusual values of the observations lie on the "large values" of chi^2, the ones to the right of the distirbution. [ANSWER]

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