Question

in a study of pain relievers, 100 people were given product a, and 76 experienced relief. in the same study, 50 people were given product b, and 35 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:

Calculate failure rates

We first find the number of people who failed to get relief for each product.
For Product A:

• Total people: \(n_A = 100\)
• Experienced relief: \(76\)
• Failed to get relief: \(100 - 76 = 24\)
• Failure rate: \(\frac{24}{100} = 24\%\)

For Product B:

• Total people: \(n_B = 50\)
• Experienced relief: \(35\)
• Failed to get relief: \(50 - 35 = 15\)
• Failure rate: \(\frac{15}{50} = 30\%\)

Compare performance

Using the Sample Proportion of failures:

• Product B has a higher failure rate (\(30\%\)) than Product A (\(24\%\)).
• Therefore, Product B performed worse in the study.

Complete the statement

We fill in the blanks to construct the logical statement:
"Product B performed worse in the study. That is because 30% failed to get relief with this product, whereas only 24% failed to get relief with Product A."

Answer:

In a study of pain relievers, 100 people were given product A, and 76 experienced relief. In the same study, 50 people were given product B, and 35 experienced relief.

Fill in the blanks below to make the most reasonable statement possible.

Product <blank>B</blank> performed worse in the study. That is because <blank>30</blank>% failed to get relief with this product, whereas only <blank>24</blank>% failed to get relief with Product <blank>A</blank>.