The given data can be completed in a tabular form by using the given data
points row and column totals.
Responses:
- Part A: The percentage of the respondents that do not like both hamburgers and burritos is approximately 26.34%
- Part B: The marginal relative frequency is approximately 0.537
- Part C: The data point that has strongest association of its two factors is the data point for the respondents that like hamburger but do not like burritos which is 81
The given data is presented as follows;
Number of respondents that do not like burritos = 135 - 54 = 81
The total number of respondents that do not like hamburgers = 41 + 54 = 95
The total number of respondents that like burritos = 29 + 41 = 70
Part A:
Number of respondents that do not like both hamburgers and burritos = 54
The percentage of the survey that do not like both hamburgers and burritos (H∩B)' is therefore;
- The percentage that do not like both hamburgers and burritos is approximately <u>26.34%</u>
Part B:
Marginal relative frequency of all customers that like hamburgers.
Therefore;
Part C:
The completed table is presented as follows;
The conditional relative frequencies are presented as follows;
A strong association variables relates to how much a variable depends on another variable, which is the level of relationship.
Based on the above relative frequency tables, we have that the data point
for those that like hamburger (29, 81) is such that only approximately 26.3%
of those that like hamburgers like burritos, while 76.3% that like hamburger
do not like burritos, which can be interpreted as follows;
Majority of customers that like hamburgers (76.3%) do not like burritos
Therefore;
- A data point that has the strongest association is the data point for the customers that like hamburgers and do not like burritos which is <u>81</u>.
Learn more conditional relative frequency table