QUESTION IMAGE
Question
kirti knows the following information from a study on cold medicine that included 60 participants: . 30 participants in total received cold medicine. . 26 participants in total had a cold that lasted longer than 7 days. . 14 participants received cold medicine but had a cold that lasted longer than 7 days. can you help kirti organize the results into a two - way frequency table? received cold medicine did not receive cold medicine cold lasted longer than 7 days 14 cold did not last longer than 7 days 16 1/3 14 participants received cold medicine but had a cold that lasted
Step1: Find number of non - medicine and long - lasting cold
The total number of participants with a cold lasting longer than 7 days is 26, and 14 of them received cold medicine. So the number of those who did not receive cold medicine but had a cold lasting longer than 7 days is $26 - 14=12$.
Step2: Find number of non - medicine and non - long - lasting cold
The total number of participants is 60. The number of participants who received cold medicine is 30, so the number of those who did not receive cold medicine is $60 - 30 = 30$. Since 12 of the non - medicine group had a long - lasting cold, the number of those who did not receive cold medicine and did not have a long - lasting cold is $30-12 = 18$.
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| Received cold medicine | Did not receive cold medicine | |
|---|---|---|
| Cold did not last longer than 7 days | 16 | 18 |