Question

Suppose you are conducting a test of independence for two categorical variables in a contingency table...

Suppose you are conducting a test of independence for two categorical variables in a contingency table
(cross-tabulation) consisting of three rows. If the critical value at the 1% level of significance is 23.209.
How many columns were in the contingency table?

Homework Answers

Answer #1

Suppose we are conducting a test of independence for two categorical variables in a contingency table.

the critical value at the 1% level of significance is 23.209.

number of rows = 3.

Given, level of significance = 0.01

And

let, number of columns be x

Degrees of freedom = (3-1)(x-1). = 2(x-1)

Hence, degrees of freedom is multiple of 2.

From the table we found that ,

Hence, degrees of freedom = 10. = 2*5

Therefore, x-1 = 5, x = 6.

There are 6 columns.

****If you have any queries or doubts please comment below, if you're satisfied please give a like. Thannk you!

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
When performing a chi squaredχ2 test for independence in a contingency table with r rows and...
When performing a chi squaredχ2 test for independence in a contingency table with r rows and c​ columns determine the​ upper-tail critical value of the test statistic in each of the following circumstances. a. a=0.05, r=4, c=3 b. a= 0.01, r=5, c=6 c. a=0.01, r=5, c=4 d. a=0.01, r=3, c=4 e. a=0.01, r=4. c=5
1. Suppose that you have two categorical variables. The first variables has 3 levels and the...
1. Suppose that you have two categorical variables. The first variables has 3 levels and the second variable has 5 levels. Determine the degrees of freedom for the chi-square test for independence for these variables.... 2. Suppose that you have two categorical variables. The first variables has 4 levels and the second variable has 5 levels. Determine the number of cells for the chi-square test for independence for these variables....
Given contingency table for simultaneous occurance of two categorical random variables X (levels A,B,C) and Y...
Given contingency table for simultaneous occurance of two categorical random variables X (levels A,B,C) and Y (levels L1,L2,L3) L1 L2 L3 A 20 40 20 B 40 30 15 C 45 50 30 Determine the marginal probability P ( Y = L 1 ) =  (round to the third decimal place) Determine the conditional probability P ( X = A | Y = L 1 ) =  (round to the second decimal place) Use R to conduct a chi-square test of independence...
Given the following contingency table, conduct a test for independence at the 1% significance level. (You...
Given the following contingency table, conduct a test for independence at the 1% significance level. (You may find it useful to reference the appropriate table: chi-square table or F table) Variable A Variable B 1 2 1 38 43 2 32 62 a. Choose the null and alternative hypotheses. H0: The two variables are independent.; HA: The two variables are dependent. H0: The two variables are dependent.; HA: The two variables are independent. b. Calculate the value of the test...
Given the following contingency table, conduct a test for independence at the 10% significance level. (You...
Given the following contingency table, conduct a test for independence at the 10% significance level. (You may find it useful to reference the appropriate table: chi-square table or F table) Variable A Variable B 1 2 1 32 39 2 35 51 a. Choose the null and alternative hypotheses. H0: The two variables are independent.; HA: The two variables are dependent. H0: The two variables are dependent.; HA: The two variables are independent. b. Calculate the value of the test...
Given the following contingency table, conduct a test for independence at the 1% significance level. (You...
Given the following contingency table, conduct a test for independence at the 1% significance level. (You may find it useful to reference the appropriate table: chi-square table or F table) Variable A Variable B 1 2 1 33 50 2 45 50 b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
Given the following contingency table, conduct a test for independence at the 1% significance level. (You...
Given the following contingency table, conduct a test for independence at the 1% significance level. (You may find it useful to reference the appropriate table: chi-square table or F table) Variable A Variable B 1 2 1 33 50 2 45 50 b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
State the hypotheses and draw the critical region sketch using the 1% level of significance to...
State the hypotheses and draw the critical region sketch using the 1% level of significance to test if for independence for a contingency table that has 4 rows and 5 columns.
State the hypotheses and draw the critical region sketch using the 1% level of significance to...
State the hypotheses and draw the critical region sketch using the 1% level of significance to test if for independence for a contingency table that has 4 rows and 5 columns.
Suppose you are conducting a test of independence. Specify the critical value under the following scenarios...
Suppose you are conducting a test of independence. Specify the critical value under the following scenarios (Use Table 3): a. r = 4, c = 5, and ? = 0.10. (Round your answer to 3 decimal places.)   Critical value     b. r = 4, c = 6, and ? = 0.05. (Round your answer to 3 decimal places.)   Critical value    
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT