To determine the correct statement regarding the relationship between the two variables (weather and type of day), we can analyze the provided relative frequencies in the two-way table:
-
For practices:
- Raining: 23%
- Not Raining: 77%
-
For games:
- Raining: 13%
- Not Raining: 87%
When we look at the relative frequencies by column (weather):
-
Raining:
- Practices = 23%
- Games = 13%
-
Not Raining:
- Practices = 77%
- Games = 87%
Now, let's evaluate the statements:
-
There appears to be an association because the relative frequencies by column are different.
This statement is incorrect because the column percentages (for raining and not raining) are not fundamentally altered or indicative of an association in a straightforward manner. -
There appears to be an association because the relative frequencies by row are different.
This statement is correct because the percentages of weather on practice days versus game days are indeed different. Specifically, a higher percentage of practices occur when it is raining (23%) compared to games (13%). -
There does not appear to be an association because the relative frequencies by column are different.
This statement is incorrect because differences in column frequencies do not lead to a conclusion about an absence of association. -
There does not appear to be an association because the relative frequencies by row are different.
This statement is incorrect for the same reason as statement 2; the differences in row percentages indicate a potential association.
Thus, the best statement that describes the relationship between the two variables is:
There appears to be an association because the relative frequencies by row are different.
1 answer