QQuestionStatistics
QuestionStatistics
Which could be a conditional relative frequency table?
| | **B** | **B** | **Total** |
| --- | --- | --- | --- |
| C | 0.25 | 0.75 | 1.0 |
| D | 0.35 | 0.65 | 1.0 |
| Total | 0.30 | 0.70 | 1.0 |
| | A | B | Total |
| C | 0.75 | 0.25 | 0.50 |
| D | 0.25 | 0.75 | 0.50 |
| Total | 0.50 | 0.50 | 1.0 |
| | A | B | Total |
| C | 0.65 | 0.35 | 1.0 |
| D | 0.35 | 0.65 | 1.0 |
| Total | 1.0 | 1.0 | 1.0 |
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Step 1:I'm assuming you would like help determining which table can be a conditional relative frequency table.
I will go through each table and explain whether it can be a conditional relative frequency table. **Table 1:** This table cannot be a conditional relative frequency table because the row and column totals do not sum to the same value in both tables. In this case, the row totals sum to 1.0, while the column totals sum to 1.0 in one table and 0.5 in the other. **Table 2:** This table can be a conditional relative frequency table. Here's why:
Step 2:
There are two rows and two columns, making it a 2x^2 contingency table.
Step 3:
The row and column totals sum to 1.0 in both tables, indicating that the entries are relative frequencies.
Step 4:
The row totals are the same in both tables, meaning the distribution of the row variable is consistent.
Step 5:
The column totals are different in the two tables, which implies that the conditional distributions of the column variable change based on the row variable. Therefore, this table represents a conditional relative frequency table. **Table 3:** This table cannot be a conditional relative frequency table because, similar to Table 1, the row and column totals do not sum to the same value in both tables. In this case, the row totals sum to 1.0, while the column totals sum to 0.5 in one table and 1.0 in the other. **
Final Answer
Table 2 can be a conditional relative frequency table.
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