The following table contains observed frequencies for a sample of 200. Test for

ID: 3134322 • Letter: T

Question

The following table contains observed frequencies for a sample of 200.

Test for independence of the row and column variables using = .05.

Compute the value of the 2 test statistic (to 2 decimals).

The p value is

A-less than .005

B-between .005 and .01

C-between .01 and .025

D-between .025 and .05

E-between .05 and .10

F-greater than .10

What is your conclusion?
A-Cannot reject the assumption that rows and columns are independen

B-tConclude the row variable and column variable are not independent

Column Variable Row Variable A B C P 40 48 70 Q 10 22 10

H0: Row variable and column variable independent

H1: Row variable and column variable are not independent

The observed frequences are

The Expected Frequencies and test statistic is calculated as follows

Test Statitistic Chi-square = 8.10

The Critical value of Chi-square = 5.99 at 5% and (2--1)(3-1) = 3df

P value = 0.0174

Correct Answer: C-between .01 and .025

Here P- value 0.0174 < alpha (0.05) , we reject H0

Correct Answer: (B) Conclude the row variable and column variable are not independent

A B C Total P 40 48 70 158 Q 10 22 10 42 Total 50 70 80 200

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.