Question

1 first, the researchers want to know what percentage (to the nearest whole percent) of people are in each combination of group and cold length. 16% of the participants had colds that lasted less than a week and were in group a. what percentage of the participants had colds that lasted a week or more and were in group b? complete the rest of the following frequency table with the corresponding percentages.
2 next, the researchers notice that among participants who had colds that lasted less than a week, 37% were in group a. among participants who had colds that lasted a week or more, what percentage were in group b? complete the table with the corresponding percentages.

Explanation:

Step1: Calculate total participants in each cold - duration category

For colds lasting less than a week: \(16 + 27=43\)
For colds lasting a week or more: \(17+15 = 32\)
Total participants \(=43 + 32=75\)

Step2: Calculate percentage for Group A (cold lasts a week or more)

The formula for percentage is \(\frac{\text{Number in Group A (cold lasts a week or more)}}{\text{Total (cold lasts a week or more)}}\times100\)
\(\frac{17}{32}\times100=\frac{1700}{32}=53.125\%\approx53\%\)

Step3: Calculate percentage for Group B (cold lasts a week or more)

The formula for percentage is \(\frac{\text{Number in Group B (cold lasts a week or more)}}{\text{Total (cold lasts a week or more)}}\times100\)
\(\frac{15}{32}\times100=\frac{1500}{32}=46.875\%\approx47\%\)

Answer:

Group A	Group B
Cold Lasts a Week or More: \(17\div(17+15)\times100\approx53\%\)	Cold Lasts a Week or More: \(15\div(17 + 15)\times100\approx47\%\)