A researcher obtains a negative value for the chi-square statistic in a chi-square goodness of fit t

lovesickgirlsrd5

lovesickgirlsrd5

Answered question

2022-03-03

A researcher obtains a negative value for the chi-square statistic in a chi-square goodness of fit test. What can a researcher conclude based on this result?
choices:
The observed frequencies are consistently larger than the expected frequencies.
The expected frequencies are consistently larger than the observed frequencies.
There are large differences between the observed and expected frequencies.
The researcher made a mistake because a chi-square value cannot be negative.

Answer & Explanation

Balraj Conrad

Balraj Conrad

Beginner2022-03-04Added 9 answers

Given,
Negative value is obtained for the chi-square statistic in a chi-square goodness of fit test.
Explanation for correct option:
Note:
The Chi-square test statistic ranges from 0 to .
Thus, the option "The researcher made a mistake because a chi-square value cannot be negative" is correct conclusion.
Explanation for wrong options:
Note:
1.The Chi-square test statistic for the goodness of fit is
χ2=(OE)2E
O represents the observed frequency.
E represents the observed frequency.
2.The square of the difference between the expected frequencies and observed frequencies are taken. Thus, there is no chance of the negative value.
3. Any observed or expected frequency can not be negative.
Thus,
Based on the above note points, first three options are not correct conclusions.

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