Question

The two-way table below describes the attendance at a movie theater at various times of the day.

Which statement best describes the relationship between the two variables?
There is an association because the relative frequencies by column are different.
There is an association because the relative frequencies by column are similar.
There is no association because the relative frequencies by column are different.
There is no association because the relative frequencies by column are similar.

Answer 1

A - There is an association because the relative frequencies by column are different.

Explanation:

Answer 2

The frequency relative iis the quotient between the absolute frequency of each value and the total number of data.
The total number of data for attendance at the cinema on Thursdays is:

61 + 130 + 75 + 42 = 308

The total number of data for attendance at the cinema on Fridays is:

82 + 158 + 162 + 94 = 496
The relative frequencies for the number of people per hour that arrive at the cinema on Thursday and Friday are shown in the attached image.

In the attached image it can be seen that the relative frequencies per column are different, therefore it can be concluded that there is no significant similarity between the number of clients at different times of the day on Thursdays and Fridays

Finally the correct answer is the third option:
"There is no association because the relative frequencies per column are different"