Question

In a focus group, a group of people is asked whether or not they would watch a new TV show. Their answers are reported by gender in the table below.

Gender	No	Yes	Total
Female	46.0%	54.0%	100%
Male	54.9%	45.1%	100%
Total	50.45%	50.55%	100%

Based on this data, what can we conclude about the relationship between gender and interest in the show?

a.	There does not appear to be a relationship between those two variables as the row percentages are almost the same for males and females.
b	There appears to be a relationship between the variables, because the percentage of females who would watch the show is higher than the percentage of males.
c	There appears to be a relationship between the variables, because the majority of males would not watch the show.
d	There is not enough information to answer this question. We need the raw count data to infer whether or not there is a relationship between these two variables.

Answer 1

The correction option is b. There appears to be a relationship between the variables, because the percentage of females who would watch the show is higher than the percentage of males.

This is a typical 2×2 contingency table, and once can also conduct a Chi square test of independence to find the exact test statistic and p-value for this distribution. But apart from the statistical analysis, even a preliminary understanding of the values tells us that there is disproportionate likings among men and women for the show, as 54% females like the show against only 45.1% males. This gap of about 10% indicates that there is a relationship between the variables