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Question
in a recent study, 50 males used a new weight-loss supplement, and all but 13 of them lost weight. in the same study, 20 females used the supplement, and all but 7 of them lost weight.
fill in the blanks below to make the statement the most reasonable possible.
the new weight-loss supplement was more effective on select ▼ in the study because only □ % of them failed to lose weight, whereas □ % of the select ▼ failed to lose weight.
Step1: Calculate male failure rate
First, find the number of males who failed to lose weight: $50 - 13 = 37$. Then calculate the percentage: $\frac{37}{50} \times 100 = 74\%$
Step2: Calculate female failure rate
First, find the number of females who failed to lose weight: $20 - 7 = 13$. Then calculate the percentage: $\frac{13}{20} \times 100 = 65\%$
Step3: Compare failure rates
Since $74\% > 65\%$, the supplement was more effective on females, as a smaller percentage of females failed to lose weight.
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The new weight-loss supplement was more effective on females in the study because only $\boldsymbol{65}$% of them failed to lose weight, whereas $\boldsymbol{74}$% of the males failed to lose weight.