Question

For each of the following give the degrees of freedom and an appropriate bound on the P-value for the χ² statistic. (You may need to use Table F to answer this question.)

(a)

χ² = 13.00 for a 4 ✕ 3 table.

Give the degrees of freedom.

Give an appropriate bound on the P-value for this χ² statistic.

P-value < 0.005

0.005 < P-value < 0.01    

0.01 < P-value < 0.02

0.02 < P-value < 0.025

0.025 < P-value < 0.05

0.05 < P-value < 0.10

0.10 < P-value < 0.15

P-value > 0.15

(b)

χ² = 13.00 for a 3 ✕ 4 table.

Give the degrees of freedom.

Give an appropriate bound on the P-value for this χ² statistic.

P-value < 0.005

0.005 < P-value < 0.01    

0.01 < P-value < 0.02

0.02 < P-value < 0.025

0.025 < P-value < 0.05

0.05 < P-value < 0.10

0.10 < P-value < 0.15

P-value > 0.15

(c)

χ² = 4.20 for a 2 ✕ 3 table.

Give the degrees of freedom.

Give an appropriate bound on the P-value for this χ² statistic.

P-value < 0.005

0.005 < P-value < 0.01    

0.01 < P-value < 0.02

0.02 < P-value < 0.025

0.025 < P-value < 0.05

0.05 < P-value < 0.10

0.10 < P-value < 0.15

P-value > 0.15

(d)

χ² = 8.40 for a 2 ✕ 3 table.

Give the degrees of freedom.

Give an appropriate bound on the P-value for this χ² statistic.

P-value < 0.005

0.005 < P-value < 0.01    

0.01 < P-value < 0.02

0.02 < P-value < 0.025

0.025 < P-value < 0.05

0.05 < P-value < 0.10

0.10 < P-value < 0.15

P-value > 0.15

Answer 1

a)

χ² = 13.00 for a 4 ✕ 3 table.

Give the degrees of freedom=3*2=6

Give an appropriate bound on the P-value for this χ² statistic.

P value=0.0430

P-value < 0.005

(b)

χ² = 13.00 for a 3 ✕ 4 table.

Give the degrees of freedom=2*3=6

Give an appropriate bound on the P-value for this χ² statistic.

P valu=0.043036

P-value < 0.005

(c)

χ² = 4.20 for a 2 ✕ 3 table.

Give the degrees of freedom=1*2=2

Give an appropriate bound on the P-value for this χ² statistic.

P value=0.122456

0.10 < P-value < 0.15

(d)

χ² = 8.40 for a 2 ✕ 3 table.

Give the degrees of freedom=1*2=2

Give an appropriate bound on the P-value for this χ² statistic.

P value=0.014

0.01 < P-value < 0.02