kirti knows the following information from a study on cold medicine that included 60 participants: . 30…

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

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

Answer

Answer:

Received cold medicine Did not receive cold medicine
Cold lasted longer than 7 days 14 12
Cold did not last longer than 7 days 16 18

Explanation:

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 $30-12 = 18$.