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,
[tex]n_1 = 50[/tex]
Number of people who received relief,
[tex]x_1 = 11[/tex]
Proportion of people who received relief from product A =
[tex]p_A = \dfrac{x_1}{n_1} = \dfrac{11}{50} = 0.22 = 22\%[/tex]
Proportion of people who did not received relief from product A =
[tex]1 = p_A = 1 - 0.22 = 0.78 =78\%[/tex]
Product B:
Number of people,
[tex]n_2 = 100[/tex]
Number of people who received relief,
[tex]x_2 = 14[/tex]
Proportion of people who received relief from product B =
[tex]p_B = \dfrac{x_2}{n_2} = \dfrac{14}{100} = 0.14 =14\%[/tex]
Proportion of people who did not received relief from product B =
[tex]1 = p_B = 1 - 0.14 = 0.86=86\%[/tex]
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