In the chi-square goodness-of-fit test, if the expected frequencies, , and the observed frequencies, , were very different, what would we conclude?
A) The null hypothesis is false, and we would reject it.
B) The null hypothesis is true, and we would not reject it.
C) The alternative hypothesis is false, and we would reject it.
D) The chi-square distribution is invalid, and we would use the t-distribution instead.

Question

In the chi-square goodness-of-fit test, if the expected frequencies,  , and the observed frequencies,  , were very different, what would we conclude?
A) The null hypothesis is false, and we would reject it. 
B) The null hypothesis is true, and we would not reject it. 
C) The alternative hypothesis is false, and we would reject it. 
D) The chi-square distribution is invalid, and we would use the t-distribution instead.

Quizplus · Accepted Answer

If the expected and observed frequencies are very different, it suggests that the null hypothesis (which assumes that the observed and expected frequencies are similar) is not true. Therefore, we would reject the null hypothesis and conclude that there is a significant difference between the expected and observed frequencies.

In the Chi-Square Goodness-Of-Fit Test, If the Expected Frequencies