In Exercises 37–44, answer the given questions, which are rela...

Question

In Exercises 37–44, answer the given questions, which are related to percentages.

Percentages in Advertising In an actual ad for the Club, a device used to discourage car thefts, it was stated that “The Club reduces your odds of car theft by 400%.” What is wrong with this statement?

Accepted Answer

All right, hello, everyone. So this question says, a fitness supplement company claimed in an advertisement that its new product, reduces your body fat percentage by 400%. What is wrong with this statement? Now here we have 4 different answer choices labeled A through D. Option A says that there's nothing wrong with the given statement, but options B, C, and D propose different explanations as to why the statement does not make sense. So to understand the answer to this question, let's understand what a percentage reduction is telling you, right? A reduction of something expressed as a percentage is describing how much of the original value remains after a decrease. So if you say, for example, that there's been a 60% reduction. After the reduction, you are now, for example, consuming 40% of the original. So here Right, the argument is that. Your body fat percentage gets reduced by 400%. When you say, for example. That the body fat reduction was or is 100%. What that means is that the person has lost literally all of their body fat. Which means that after this 100% reduction, the person has zero body fat. Meaning that no body fat remains, which for the record is incredibly dangerous. And so when you take that a step further, and you argue that this reduction is somehow greater than 100%, at that point, you're stating that the body fat percentage has reduced below 0. Which cannot make sense because there's no such thing as having negative body fat. So therefore, the problem is that you cannot state that there is a percentage reduction, greater than 100%. Because in this context, you're implying that the value can somehow drop below 0. And therefore Your answer is going to be option D in the multiple choice. Because a reduction of more than 100% is impossible, as it would mean a negative body fat percentage. And there you have it. So with that being said, thank you so very much for watching and I hope you found this helpful.

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In Exercises 37–44, answer the given questions, which are related to percentages.
Percentages in Advertising In an actual ad for the Club, a device used to discourage car thefts, it was stated that “The Club reduces your odds of car theft by 400%.” What is wrong with this statement?

Key Concepts

Understanding Percentages

Limits of Percentage Reduction

Statistical Misrepresentation

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In Exercises 37–44, answer the given questions, which are related to percentages.Percentages in Advertising In an actual ad for the Club, a device used to discourage car thefts, it was stated that “The Club reduces your odds of car theft by 400%.” What is wrong with this statement?