When using the chi- square hypothesis test and the observed frequencies are relatively close to the expected frequencies, which one of the following statements is true?
A)The scenario will result in a smaller chi- square statistic, which increases the likelihood that there is support for the null hypothesis.
B)The scenario will result in a larger chi- square statistic, which increases the likelihood that there is support for the alternative hypothesis.
C)The scenario will result in a larger chi- square statistic, which increases the likelihood that there is support for the null hypothesis.
D)The scenario will result in a smaller chi- square statistic, which increases the likelihood that there is support for the alternative hypothesis.

Question

Quizplus · Accepted Answer

When observed frequencies are close to expected frequencies, the chi-square statistic tends to be smaller, indicating a smaller difference between observed and expected values. This smaller chi-square value increases the likelihood of not rejecting the null hypothesis, suggesting that the observed frequencies are consistent with the expected frequencies under the null hypothesis.

When Using the Chi- Square Hypothesis Test and the Observed