Question

x² = 7.8 and x²cv = 7.81.
what is your conclusion?

signicant, fail to reject the null hypothesis.

not signicant, reject the null hypothesis.

cannot be determined from the information given.

not signicant, fail to reject the null hypothesis.

signicant, reject the null hypothesis.

Explanation:

In hypothesis testing using the chi - square ($\chi^{2}$) statistic, if the calculated $\chi^{2}$ value ($\chi^{2}=7.8$) is less than the critical $\chi^{2}$ value ($\chi^{2}_{cv} = 7.81$), we fail to reject the null hypothesis. A result is considered significant if the calculated $\chi^{2}$ is greater than or equal to the critical $\chi^{2}$. Since $7.8<7.81$, the result is not significant, and we fail to reject the null hypothesis.

Answer:

Not Significant, Fail to Reject the Null Hypothesis.