make a two-way table that shows the joint and marginal relative frequencies. round to the nearest hundredth…

make a two-way table that shows the joint and marginal relative frequencies. round to the nearest hundredth, if necessary.\n\nmeat\nturkey ham\nbread white 452 146\nwheat 328 422\n\nmeat\nturkey ham total\nbread white\nwheat\ntotal
Answer
Explanation:
Step1: Calculate the grand total
$$452 + 146 + 328 + 422 = 1348$$
Step2: Calculate joint relative frequencies
$$\text{White/Turkey} = \frac{452}{1348} \approx 0.34$$ $$\text{White/Ham} = \frac{146}{1348} \approx 0.11$$ $$\text{Wheat/Turkey} = \frac{328}{1348} \approx 0.24$$ $$\text{Wheat/Ham} = \frac{422}{1348} \approx 0.31$$
Step3: Calculate marginal relative frequencies
$$\text{Total White} = 0.34 + 0.11 = 0.45$$ $$\text{Total Wheat} = 0.24 + 0.31 = 0.55$$ $$\text{Total Turkey} = 0.34 + 0.24 = 0.58$$ $$\text{Total Ham} = 0.11 + 0.31 = 0.42$$
Step4: Verify grand total sum
$$0.45 + 0.55 = 1.00$$
Answer:
| Bread | Turkey | Ham | Total |
|---|---|---|---|
| White | 0.34 | 0.11 | 0.45 |
| Wheat | 0.24 | 0.31 | 0.55 |
| Total | 0.58 | 0.42 | 1.00 |