In a recent study, 50 males used a new weight-loss supplement, and  38 of them experienced weight loss after two weeks. In the same study,  100 females used the same supplement, and 83 of them experienced weight loss after two weeks. Fill in the blanks of the statement below to make the statement the most reasonable possible. The new weight-loss supplement was more effective on ? in the study because only ?% of them failed to lose weight after two weeks, whereas ?% of the ? failed to lose weight after two weeks.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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In a recent study, 50 males used a new weight-loss supplement, and 

38 of them experienced weight loss after two weeks. In the same study, 
100 females used the same supplement, and 83 of them experienced weight loss after two weeks.

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

The new weight-loss supplement was more effective on ? in the study because only ?% of them failed to lose weight after two weeks, whereas
?% of the ? failed to lose weight after two weeks.
Expert Solution
Step 1

Given that;

  • 50 males used a new weight-loss supplement
  • 38 of them experienced weight loss after two weeks
  • Hence 50-38 = 12 failed to lose weight after two weeks

Therefore;

1250×100%=24%

24% of males failed to lose weight after two weeks

Also given that;

  • 100 females used the same weight-loss supplement
  • 83 of them experienced weight loss after two weeks
  • Hence 100-83 = 17 failed to lose weight after two weeks

Therefore;

17100×100%=17%

17% of females failed to lose weight after two weeks

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