Question

Which of the following is the correct number of degrees of freedom for the chi-square test using these data?

a.$4$

b.$8$

c. $10$

d.$20$

e.$4876$

Short answer

Option (a) The degrees of freedom for the chi-square test for this two-way table are $4$.

Step-by-step solution

Given information

We have to identify the correct number of degrees of freedom for the chi square test using given data.

Simplification

Given information two way tables is:

Opinion about marriage	female	male	Total
Almost no chance	$119$	$103$	$222$
Some chance but probably not	$150$	$171$	$321$
A50−5050−50 chance	$447$	$512$	$959$
A good chance	$735$	$710$	$1445$
Almost certain	$1174$	$756$	$1930$
Total	$2625$	$2252$	$4877$

For the given data correct answer is $4$.

Thus, Option a) is correct.