Question

Explain why​ chi-square goodness-of-fit tests are always right tailed.Choose the correct answer below.A.The​ chi-square goodness-of-fit tests are always right tailed because the​ chi-square distribution is skewed to the right.B.The​ chi-square goodness-of-fit tests are always right tailed by convention. A left tail test will always yield the same results.C.The​ chi-square goodness-of-fit tests are always right tailed because negative values of the test statistic are not important.D.The​ chi-square goodness-of-fit tests are always right tailed because the numerator in the test statistic is​ squared, making every test​ statistic, other than a perfect​ fit, positive.

Answer 1

Answer:

Option D

Step-by-step explanation:

The​ chi-square goodness-of-fit tests are always right tailed because the numerator in the test statistic is​ squared, making every test​ statistic, other than a perfect​ fit, positive.

The idea behind using this child square goodness of fit test is to see if the sample comes from the population with the claimed distribution and also that if the observed frequency is closer to the expected frequency, the square of the deviations will be small and positive.