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 cold did not last longer than 7 days

Explanation:

Step1: Find number of non - medicine long - lasting colds

We know 26 had colds lasting longer than 7 days and 14 of those received medicine. So number of those who didn't receive medicine and had long - lasting colds is $26 - 14=12$.

Step2: Find number of medicine non - long - lasting colds

30 received cold medicine and 14 of those had long - lasting colds. So number of those who received medicine and had non - long - lasting colds is $30 - 14 = 16$.

Step3: Find number of non - medicine non - long - lasting colds

Total participants are 60. Those who had long - lasting colds are 26, so those with non - long - lasting colds are $60 - 26=34$. Since 16 of non - long - lasting colds received medicine, number of non - medicine non - long - lasting colds is $34 - 16 = 28$.

Answer:

	Received cold medicine	Did not receive cold medicine
Cold did not last longer than 7 days	16	28