In the chi-square goodness-of-fit test, if the expected frequencies and the observed frequencies were quite different, we would conclude that the:

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

were quite different, we would conclude that the:

A) null hypothesis is false, and we would reject it
B) null hypothesis is true, and we would not reject it
C) alternative hypothesis is false, and we would reject it
D) chi-square distribution is invalid, and we would use the t-distribution instead

Lauren Carden · Accepted Answer

Final Answer : A, Explanation :  If the expected and observed frequencies are quite different, it suggests that the null hypothesis (which states that the observed frequencies are not significantly different from the expected frequencies) may not be true. Therefore, we would reject the null hypothesis and accept the alternative hypothesis that the observed frequencies are significantly different from the expected frequencies.

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