use the following scenario and frequency table to answer the question. savannah wants to keep in touch with…

use the following scenario and frequency table to answer the question. savannah wants to keep in touch with classmates and friends over the summer. she does a survey asking if they will be traveling out of state or if theyre going to be in state for their vacations. she then asks if its better to contact them on a weekday or a weekend. her results are shown below.\n| |weekday|weekend|total|\n|--|--|--|--|\n|in state|11|23|34|\n|out of state|16|26|42|\n|total|27|49|76|\nwhich of the following describes a conditional relative frequency? more than one answer may be correct; check all that apply.\n□ among the 27 people who prefer to be contacted on weekdays, 16 will be out of state.\n□ of the 76 friends surveyed, 42 will be out of state.\n□ of the 34 friends who will be in state, 23 prefer to be contacted on a weekend.\n□ of the 76 people surveyed, 11 prefer to be contacted on a weekday who will also be in state.

use the following scenario and frequency table to answer the question. savannah wants to keep in touch with classmates and friends over the summer. she does a survey asking if they will be traveling out of state or if theyre going to be in state for their vacations. she then asks if its better to contact them on a weekday or a weekend. her results are shown below.\n| |weekday|weekend|total|\n|--|--|--|--|\n|in state|11|23|34|\n|out of state|16|26|42|\n|total|27|49|76|\nwhich of the following describes a conditional relative frequency? more than one answer may be correct; check all that apply.\n□ among the 27 people who prefer to be contacted on weekdays, 16 will be out of state.\n□ of the 76 friends surveyed, 42 will be out of state.\n□ of the 34 friends who will be in state, 23 prefer to be contacted on a weekend.\n□ of the 76 people surveyed, 11 prefer to be contacted on a weekday who will also be in state.

Answer

Explanation:

Step1: Recall conditional - relative frequency definition

Conditional relative frequency is the ratio of the frequency in a particular category to the total frequency of the condition. It is based on a row - total or a column - total, not the grand total.

Step2: Analyze each option

  • Option 1: Among the 27 people who prefer to be contacted on weekdays, 16 will be out of state. This is a conditional relative frequency as it is based on the column - total of 27 (weekday preference). The condition is "prefer to be contacted on weekdays".
  • Option 2: Of the 76 friends surveyed, 42 will be out of state. This is a simple relative frequency (part - to - whole) based on the grand total of 76, not a conditional relative frequency.
  • Option 3: Of the 34 friends who will be in state, 23 prefer to be contacted on a weekend. This is a conditional relative frequency as it is based on the row - total of 34 (in - state travel). The condition is "will be in state".
  • Option 4: Of the 76 people surveyed, 11 prefer to be contacted on a weekday who will also be in state. This is a simple relative frequency based on the grand total of 76, not a conditional relative frequency.

Answer:

A. Among the 27 people who prefer to be contacted on weekdays, 16 will be out of state. C. Of the 34 friends who will be in state, 23 prefer to be contacted on a weekend.