IF x^2lt x^2 af, THEN BY PEARSON'S CRITERION , THERE IS NO REASON TO REJECT THE Select one: critical value critical area alternate hypothesis D null hypothesis right-sided critical area

The correct answer is D) null hypothesis.<br /><br />In Pearson's criterion, the null hypothesis is the hypothesis that there is no significant difference between the observed data and the expected data. In this case, the statement "$x^{2}\lt x^{2}$" is a contradiction, as it implies that a value is less than itself, which is not possible. Therefore, there is no reason to reject the null hypothesis, as the observed data is consistent with the expected data.