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

(a)    χ² = 4.96, df = 2
__ < P-value < __

(b)    χ² = 12.2, df = 6
__< P-value < __

(c)    χ² = 21.62, df = 9
__ < P-value <__

(d)    χ² = 19.2, df = 4
P-value:___

(e)    χ² = 5.86, df = 3
P-value:___

Answer 1

(a)    χ² = 4.96, df = 2

P value= 0.084
0.05 < P-value < 0.10

Fail to reject H0

(b)    χ² = 12.2, df = 6
0.05< P-value < 0.10

Fail to reject H0

(c)    χ² = 21.62, df = 9
0.010 < P-value <0.025

Fail To reject H0

(d)    χ² = 19.2, df = 4
P value=0.001

P-value<0.005\

Reject Ho

(e)    χ² = 5.86, df = 3
P-value:0.119

0.100<P value<0.500

Fail to reject H0