Which of the following is true of a one-sample chi-square test? A) The null hypothesis is that the actual frequencies in each category is different than those hypothesized B) The greater the difference between the actual and hypothesized frequencies in a category, the more likely the difference can be attributed to chance C) The value of the X²statistic expresses the extent of the difference between the actual and hypothesized frequencies D) The larger the divergence, the smaller the X²value E) A X²statistic is significant if it is less than .05

Question

Quizplus · Accepted Answer

The value of the chi-square statistic expresses the extent of the difference between the actual and hypothesized frequencies in a one-sample chi-square test. A larger chi-square value indicates a larger deviation from the expected frequencies, which suggests that the null hypothesis may not be true. The other options are incorrect. The null hypothesis in a one-sample chi-square test is typically that the hypothesized frequencies in each category are correct (A), not different from those hypothesized. The greater the difference between the actual and hypothesized frequencies in a category, the less likely it can be attributed to chance (B), not more likely. There is no such thing as an X² statistic (D), and a chi-square test is significant if the obtained chi-square value is greater than the critical value corresponding to the chosen level of significance (E).

Which of the Following Is True of a One-Sample Chi-Square