quinn asked 100 students whether they prefer hard - shell tacos or soft - shell tacos. she also asked if…

quinn asked 100 students whether they prefer hard - shell tacos or soft - shell tacos. she also asked if they prefer beef tacos or chicken tacos. this table shows the relative frequencies from the survey. based on the data in the table, which of the following statements are true? select all that apply. a student is more likely to prefer soft - shell tacos than to prefer hard - shell tacos. a student who prefers soft - shell tacos is more likely to prefer beef tacos than to prefer chicken tacos. a student who prefers beef tacos is more likely to prefer hard - shell tacos than to prefer soft - shell tacos. a student who prefers hard - shell tacos is more likely to prefer chicken tacos than to prefer beef tacos.

quinn asked 100 students whether they prefer hard - shell tacos or soft - shell tacos. she also asked if they prefer beef tacos or chicken tacos. this table shows the relative frequencies from the survey. based on the data in the table, which of the following statements are true? select all that apply. a student is more likely to prefer soft - shell tacos than to prefer hard - shell tacos. a student who prefers soft - shell tacos is more likely to prefer beef tacos than to prefer chicken tacos. a student who prefers beef tacos is more likely to prefer hard - shell tacos than to prefer soft - shell tacos. a student who prefers hard - shell tacos is more likely to prefer chicken tacos than to prefer beef tacos.

Answer

Answer:

A. A student is more likely to prefer soft - shell tacos than to prefer hard - shell tacos. B. A student who prefers soft - shell tacos is more likely to prefer beef tacos than to prefer chicken tacos. C. A student who prefers beef tacos is more likely to prefer hard - shell tacos than to prefer soft - shell tacos.

Explanation:

Step1: Compare hard - shell and soft - shell preferences

The relative frequency of preferring soft - shell tacos is 0.55 and for hard - shell is 0.45. Since 0.55>0.45, a student is more likely to prefer soft - shell tacos.

Step2: Analyze soft - shell taco preferences

Among soft - shell taco lovers, the relative frequency of preferring beef is 0.22 and for chicken is 0.33. Since 0.22 < 0.33, a student who prefers soft - shell tacos is more likely to prefer chicken tacos, so this statement is false.

Step3: Analyze beef taco preferences

Among beef taco lovers, the relative frequency of preferring hard - shell is 0.26 and for soft - shell is 0.22. Since 0.26>0.22, a student who prefers beef tacos is more likely to prefer hard - shell tacos.

Step4: Analyze hard - shell taco preferences

Among hard - shell taco lovers, the relative frequency of preferring beef is 0.26 and for chicken is 0.19. Since 0.26>0.19, a student who prefers hard - shell tacos is more likely to prefer beef tacos, so this statement is false.