From the given information in each case below, state what you know about the P -

Question

From the given information in each case below, state what you know about the P-value for a chi-square test and give the conclusion for a significance level of = 0.01. Use Table 8 in Appendix A. (Enter your answers to three decimal places.)

(a)    2 = 7.68, df = 2
_____ < P-value < _____

Conclusion:

Reject H0

Fail to reject H0     

(b)    2 = 12.92, df = 6
______ < P-value < ________

Conclusion:

Reject H0

Fail to reject H0     

(c)    2 = 17.8, df = 9
______ < P-value <________

Conclusion:

Reject H0

Fail to reject H0     

(d)    2 = 19.15, df = 4
P-value >, =, < _________

Conclusion:

Reject H0

Fail to reject H0     

(e)    2 = 6.21, df = 3
P-value < ,>, = _______

Conclusion:

Reject H0

Fail to reject H0

Explanation / Answer

(a)    2 = 7.68, df = 2
___0.01__ < P-value < __0.025___

Conclusion: As p-value>0.01, we do not reject the null hypothesis.

Fail to reject H0     

(b)    2 = 12.92, df = 6
_0.025_____ < P-value < __0.05______

Conclusion: As p-value>0.01, we do not reject the null hypothesis.

Fail to reject H0     

(c)    2 = 17.8, df = 9
___0.025___ < P-value <___0.05_____

Conclusion: As p-value>0.01, we do not reject the null hypothesis.

Fail to reject H0     

(d)    2 = 19.15, df = 4
P-value < 0.001_________

Conclusion: As p-value<0.01, we reject the null hypothesis.

Reject H0

(e)    2 = 6.21, df = 3
P-value >0.10 _______

Conclusion: As p-value>0.01, we do not reject the null hypothesis.

Fail to reject H0

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