In January 2015 the Pew Research Center published a report stating that 37% of Americans believed that genetically modified foods (GMOs) were safe to eat. This was based on a survey of n=2002 American adults. Find the probability that more than 40% of people think GMOs are safe to eat in another sample of 2002 people
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We are given that the proportion of Americans who believe GMOs are safe to eat is p = 0.37. Show more…
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An ABC News poll asked adults whether they felt genetically modified food was safe to eat. Thirty-five percent felt it was safe, 52% felt it was not safe, and 13% had no opinion. A random sample of 120 adults was asked the same question at a local county fair, and the results are given below. For α = 0.01, is there sufficient evidence that the distribution differs from those reported in the survey? Is genetically modified food safe? Number of responses Safe: 40 Not Safe: 60 No Opinion: 20 Total:
David N.
Genetically modified foods: According to a 2014 Pew Research survey, a majority of the American general public (57%) say that genetically modified (GM) foods are generally unsafe to eat. This month, in a survey of 500 randomly selected American adults, 60% say that GM foods are generally unsafe to eat. We test the hypothesis that the percentage who say that GM foods are generally unsafe to eat is greater than 57% this year. The P-value is 0.088. Which of the following interpretations of this P-value is valid? a. Assuming that more than 57% of Americans feel that GM foods are unsafe, the probability that 60% of 500 randomly selected Americans say that GM foods are generally unsafe to eat is 0.088. b. If we assume that 57% of Americans say that GM foods are generally unsafe to eat, then there is an 8.8% chance that random sample results will show 60% or more who say that GM foods are generally unsafe to eat. c. There is an 8.8% chance that 57% of Americans say that GM foods are generally unsafe to eat.
T. L.
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