QUESTION IMAGE
Question
jonas knows the following information about the 19 members in his travel group: . 5 members have been to both the united states and australia. . 11 members in total have been to the united states. . 12 members in total have been to australia. can you help jonas organize the results into a two - way frequency table? have been to the united states have not been to the united states have been to australia have not been to australia
Step1: Find number of members who have been to Australia but not US
We know 5 members have been to both US and Australia and 12 in total have been to Australia. So number of members who have been to Australia but not US is $12 - 5=7$.
Step2: Find number of members who have been to US but not Australia
We know 5 members have been to both US and Australia and 11 in total have been to US. So number of members who have been to US but not Australia is $11 - 5 = 6$.
Step3: Find number of members who have been to neither
Total members are 19. Number of members who have been to either US or Australia or both is $7+5 + 6=18$. So number of members who have been to neither is $19-18 = 1$.
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| Have been to the United States | Have not been to the United States | |
|---|---|---|
| Have not been to Australia | 6 | 1 |