Question

the following two - way table represents data from a survey asking students whether they have visited alaska, hawaii, or both. what is the relative frequency for students who have been to alaska? what is the relative frequency for students who have been to hawaii but not alaska? what is the relative frequency for students who have not been to alaska or hawaii? alaska not alaska total hawaii 6 15 21 not hawaii 8 21 29 total 14 36 50

Explanation:

Step1: Recall relative - frequency formula

Relative frequency = $\frac{\text{Frequency of the event}}{\text{Total frequency}}$

Step2: Calculate relative frequency for students who have been to Alaska

The number of students who have been to Alaska is 14 (total in the Alaska column), and the total number of students is 50. So the relative frequency is $\frac{14}{50}= 0.28$.

Step3: Calculate relative frequency for students who have been to Hawaii but not Alaska

The number of students who have been to Hawaii but not Alaska is 15. So the relative frequency is $\frac{15}{50}=0.3$.

Step4: Calculate relative frequency for students who have not been to Alaska or Hawaii

The number of students who have not been to Alaska or Hawaii is 21. So the relative frequency is $\frac{21}{50}=0.42$.

Answer:

1. 0.28
2. 0.3
3. 0.42