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 = 4.98, df = 2

< P-value <

(b) χ2 = 12.18, df = 6

< P-value <

(c) χ2 = 21.06, df = 9

< P-value <

(d) χ2 = 20.7, df = 4

P-value <

(e) χ2 = 5.86, df = 3

P-value >

Answer 1

SOLUTION:

From given data,

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.

Here we want to find the p-value for given chi square test

significance level = = 0.01.

(a) χ² = 4.98, df = 2

χ² = 4.98

df = 2

P-value = 0.08291  (by using CHIDIST(X, D.F)

range of P-value ( BY USING chi sqare table)

0.05 < P-value < 0.025

(b) χ² = 12.18, df = 6

χ² = 12.18

df = 6

P-value = 0.05807  (by using CHIDIST(X, D.F)

range of P-value ( BY USING chi sqare table)

0.05 < P-value < 0.025

(c) χ² = 21.06, df = 9

χ² = 21.06

df = 9

P-value = 0.01239  (by using CHIDIST(X, D.F)

range of P-value ( BY USING chi sqare table)

0.025 < P-value < 0.01

(d) χ² = 20.7, df = 4

χ² = 20.7

df = 4

P-value = 0.0003631  (by using CHIDIST(X, D.F)

P-value < 0.01

(e) χ² = 5.86, df = 3

χ² = 5.86

df = 3

P-value = 0.1186  (by using CHIDIST(X, D.F)

P-value > 0.01