Question

in a study of pain relievers, 100 people were given product a, and all but 35 experienced relief. in the same study, 25 people were given product b, and all but 12 experienced relief. fill in the blanks below to make the most reasonable statement possible. product select performed worse in the study. that is because % failed to get relief with this product, whereas only % failed to get relief with product select.

Explanation:

Step1: Calculate failure rate for Product A

The formula for failure rate is \(\frac{\text{Number of failures}}{\text{Total number of people}}\times100\%\). For Product A, the number of failures is \(35\) and the total number of people is \(100\). So the failure rate is \(\frac{35}{100}\times 100\%=35\%\)

Step2: Calculate failure rate for Product B

For Product B, the number of failures is \(12\) and the total number of people is \(25\). Using the same formula \(\frac{12}{25}\times100\%=\frac{12\times4}{25\times4}\times100\% = 48\%\)

Answer:

Product B performed worse in the study. That is because \(48\%\) failed to get relief with this product, whereas only \(35\%\) failed to get relief with Product A.