The nutrition and food science division of Farnsworth Pharmaceuticals is alpha testing an OTC diagnostic kit so that adults who self-report a certain food allergy can affirm their insensitivity to that food allergen. Preliminary clinical trials yielded that 25% of the volunteers who suspected they had food allergies were clinically identified as sensitive or intolerant to the food allergen; unfortunately and disappointingly, only 10% of those who tested positive in the clinic also tested positive with the kit. Furthermore, of those self-reporting adult volunteers who had a negative clinic outcome, 5% tested positive anyway with the kit. [COMMENTS & HINTS: Consider clinical sensitivity to the food allergen a positive result for testing purposes. If necessary, round off percentages to the nearest hundredth, expressing as #.##% or ##.##%.] question If 25% of the positive results from the clinical diagnoses ended up as positive result of food sensitivity or intolerance, then what was the complementary probability for those adult volunteers who ended up with a negative result from the clinical diagnosis, apparently having no food insensitivies or allergies? Express the answer as a percentage without insignificant digits, with percent symbol.
The nutrition and food science division of Farnsworth Pharmaceuticals is alpha testing an OTC diagnostic kit so that adults who self-report a certain food allergy can affirm their insensitivity to that food allergen. Preliminary clinical trials yielded that 25% of the volunteers who suspected they had food allergies were clinically identified as sensitive or intolerant to the food allergen; unfortunately and disappointingly, only 10% of those who tested positive in the clinic also tested positive with the kit. Furthermore, of those self-reporting adult volunteers who had a negative clinic outcome, 5% tested positive anyway with the kit. [COMMENTS & HINTS: Consider clinical sensitivity to the food allergen a positive result for testing purposes. If necessary, round off percentages to the nearest hundredth, expressing as #.##% or ##.##%.]
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If 25% of the positive results from the clinical diagnoses ended up as positive result of food sensitivity or intolerance, then what was the complementary probability for those adult volunteers who ended up with a negative result from the clinical diagnosis, apparently having no food insensitivies or allergies? Express the answer as a percentage without insignificant digits, with percent symbol.
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