In the following table,individuals are cross-classified by their age group and income level. At the 5% significance level,the critical value is _______.
A) 13.277
B) 11.143
C) 9.488
D) 7.779

Question

In the following table,individuals are cross-classified by their age group and income level.  At the 5% significance level,the critical value is _______.
A) 13.277 
B) 11.143 
C) 9.488 
D) 7.779

Quizplus · Accepted Answer

To find the critical value at the 5% significance level for this contingency table, we need to use a chi-squared test. The degrees of freedom for this test are calculated as (r-1)(c-1), where r is the number of rows (in this case, 3 age groups) and c is the number of columns (in this case, 4 income levels). So, (3-1)(4-1) = 6. Using a chi-squared distribution table with 6 degrees of freedom and a significance level of 0.05, the critical value is 9.488. Therefore, the best choice is C.

In the Following Table,individuals Are Cross-Classified by Their Age Group