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

Using Excel functions CHISQ.DIST(test statistic, degrees of freedom, cumulative) and CHISQ.DIST.RT(test statistic, degrees of freedom)

a) χ² = 4.96, df = 2

Upper = CHISQ.DIST(4.96, 2, TRUE) = 0.916

Lower = CHISQ.DIST.RT(4.96, 2) = 0.084
0..084 < P-value < 0.916

b) χ² = 12.2, df = 6

Upper = CHISQ.DIST(12.2, 6, TRUE) = 0.942

Lower = CHISQ.DIST.RT(12.2, 6) = 0.058
0.058 < P-value < 0.942

c) χ² = 21.62, df = 9

Upper = CHISQ.DIST(21.62, 9, TRUE) = 0.990

Lower = CHISQ.DIST.RT(21.62, 9) = 0.010
0.010 < P-value < 0.990

d) χ² = 19.2, df = 4

Upper = CHISQ.DIST.RT(19.2, 4) = 0.999

P-value < 0.999

e) χ² = 5.86, df = 3

Lower = CHISQ.DIST.RT(5.86, 3) = 0.119
P-value  > 0.119
P-value  <