Question

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

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 α = 0.01. Use Table 8 in Appendix A. (Enter your answers to three decimal places.)

(a)    χ2 = 4.97, df = 2
< P-value <

Conclusion:

Reject H0Fail to reject H0

(b)    χ2 = 12.16, df = 6
< P-value <

Conclusion:

Reject H0Fail to reject H0

(c)    χ2 = 20.91, df = 9
< P-value <

Conclusion:

Reject H0Fail to reject H0

(d)    χ2 = 18.73, df = 4
P-value  ? > = <

Conclusion:

Reject H0Fail to reject H0

(e)    χ2 = 6.24, df = 3
P-value  ? > < =

Conclusion:

Reject H0Fail to reject H0

Solution:

We have to use here the chi-square table to find the upper and lower limit of the p-value. The decision rule is if the p-value is less than the significance level, we reject H0 else we fail to reject.

(a)    χ2 = 4.97, df = 2

Conclusion:

Fail to reject H0

(b)    χ2 = 12.16, df = 6

Conclusion:

Fail to reject H0

(c)    χ2 = 20.91, df = 9

Conclusion:

Fail to reject H0

(d)    χ2 = 18.73, df = 4

Conclusion:

Reject H0

(e)    χ2 = 6.24, df = 3

Conclusion:

Fail to reject H0

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