A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight / (height) 2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 265 had BMIs of less than 25, 159 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese?

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Mathematics

Elian Schroeder

14 August, 15:26

A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight / (height) 2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 265 had BMIs of less than 25, 159 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese?

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Hudson Wallace · Answer 1

Answer & Step-by-step explanation:

Total people sampled is: 265+159+121 = 545

Less than 25 (From 1 to 24.9) : 265

At least 25 but less than 30 (From 25 to 29.9) : 159

Exceeding 30 (From 30 to n) : 121

Percentages:

Less than 25: 265/545 = 0.486*100=48.6%

At least 25 but less than 30: 159/545=0.292*100 = 29.2%

Exceeding 30:0.222*100 = 22.2%

According to the definition of an obese person (From 30 to n), the 22.2% of the sampled population are obese. Then, yes more than 20% of the are obese.