Question

Which is an INCORRECT statement regarding the following cross-tabulation table about gender and diagnosis of 20 participants of study A?

	Female	Male	Total
Depression Only	2	2	4
	16.6%	25%	20%
Anxiety Only	6	6	12
	50%	75%	60%
Depression & Anxiety	4	0	4
	33.3%	0%	20%
Total	12	8	20

Group of answer choices

Approx. 16.6% of the female participants have depression only.

Among the participants who have anxiety only, 75% are male.

There are 12 participants who have anxiety only.

There is no male participant has both depression and anxiety.

40% of the entire study participants are male.

Answer 1

Solution:

Given:

	Female	Male	Total
Depression Only	2	2	4
	16.6%	25%	20%
Anxiety Only	6	6	12
	50%	75%	60%
Depression & Anxiety	4	0	4
	33.3%	0%	20%
Total	12	8	20

We have to determine  an INCORRECT statement regarding the cross-tabulation table about gender and diagnosis of 20 participants of study A.

First option: Approx. 16.6% of the female participants have depression only.

From table we can see there are 12 female and out of which 2 female participants have depression only.

Thus P( female participants have depression only) = 2/12 = 0.166 = 16.6%

Thus this is correct statement.

Second option: Among the participants who have anxiety only, 75% are male.

From table we can see, there are total 12 participants who have anxiety only and out of these 12 people, we have 6 male and 6 male , so percentage of male out of the participants who have anxiety only should be 6/12 = 0.5 = 50%

Thus this is an INCORRECT statement.

Third option: There are 12 participants who have anxiety only.

This is correct statement , since there are total 12 participants who have anxiety only.

Fourth option: There is no male participant has both depression and anxiety.

Correct, since count for both depression and anxiety and Male is 0.

Fifth option: 40% of the entire study participants are male.

We have total male = 8 and total participants = 20

thus percentage of male = 8 / 20 = 0.4 = 40%

Thus this is correct statement.