Question

In a study of pain relievers, 50 people were given product A, and all but 11 experienced relief. In the same study, 100 people were given product B, and all but 14 experienced relief. Fill in the blanks of the statement below to make the statement the most reasonable possible. Produ. V ? performed worse in the study because % failed to get relief with this product, whereas only 6 failed to get relief with Product ?

Answer 1

Answer:

Product B performed worse in the study because 86% failed to get relief with this product, whereas only 78% failed to get relief with Product A

Step-by-step explanation:

We are given the following in the question:

Product A:

Number of people,

$n_1 = 50$

Number of people who received relief,

$x_1 = 11$

Proportion of people who received relief from product A =

$p_A = \dfrac{x_1}{n_1} = \dfrac{11}{50} = 0.22 = 22\%$

Proportion of people who did not received relief from product A =

$1 = p_A = 1 - 0.22 = 0.78 =78\%$

Product B:

Number of people,

$n_2 = 100$

Number of people who received relief,

$x_2 = 14$

Proportion of people who received relief from product B =

$p_B = \dfrac{x_2}{n_2} = \dfrac{14}{100} = 0.14 =14\%$

Proportion of people who did not received relief from product B =

$1 = p_B = 1 - 0.14 = 0.86=86\%$

Product B performed worse in the study because 86% failed to get relief with this product, whereas only 78% failed to get relief with Product A