determining relative frequency ratios\nthe following two - way table represents data from a survey asking…

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

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

Answer

Answer:

  1. For students who have been to Alaska: $\frac{14}{50}=0.28$
  2. For students who have been to Hawaii but not Alaska: $\frac{15}{50}=0.3$
  3. For students who have not been to Alaska or Hawaii: $\frac{21}{50}=0.42$

Explanation:

Step1: Recall relative - frequency formula

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

Step2: Calculate relative frequency for Alaska - visited students

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

Step3: Calculate relative frequency for Hawaii - only students

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

Step4: Calculate relative frequency for non - Alaska and non - Hawaii students

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