Scientific research on popular beverages consisted of 55 studies that were fully

Question

Scientific research on popular beverages consisted of 55 studies that were fully sponsored by the food industry, and 45 studies that were conducted with no corporate ties. Of those that were fully sponsored by the food industry, 12 % of the participants found the products unfavorable, 23 % were neutral, and 65 % found the products favorable. Of those that had no industry funding, 37 % found the products unfavorable, 14 % were neutral, and 47 % found the products favorable.
What is the probability that a participant selected at random found the products favorable?

Explanation / Answer

Studies with corporate ties = 55

Studies without corporate ties = 45

Total studies = 55 + 45 = 100

Favourable in studies with corporate ties = 65% = 55X 65/100 = 9.75

Favourable in studies without corporate ties = 47% = 45 X 47/100 = 21.15

Total favouable = 9.75 + 21.15 = 30.9

So, probability that a participant selected at random found the products favourable = 30.9/100 = 0.309

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