Question

Genetically modified foods: According to a 2016 Pew Research survey, a Select one answer majority of the American general public (56%) says that genetically modified 10 points (GM) foods are generally unsafe to eat. This month, in a survey of 500 randomly selected American adults, 58% says that GM foods are generally unsafe to eat. We test the hypothesis that the percentage who says that GM foods are generally unsafe to eat is greater than 56% this year. The p-value is 0.082. Which of the following interpretations of this p-value is valid? A. Assuming that more than 56% of Americans feel that GM foods are unsafe, the probability that 58% of 500 randomly selected Americans say that GM foods are generally unsafe to eat is 0.082. B. There is an 8.2% chance that 56% of Americans says that GM foods are generally unsafe to eat. c. If we assume that 56% of Americans says that GM foods are generally unsafe to eat, then there is an 8.2% chance that random sample results will show 58% or more who says that GM foods are generally unsafe to eat.

Answer 1

p-value = 0.082

$\alpha$ = 5% = 0.05

p-value indicated the probability of rejection of the null hypothesis if it is true.

That means: C) If we assume that 56% of Americans say that GM foods are generally unsafe to eat, then there is an 8.2% chance that random sample results will show 58% or more who says that GM foods are generally unsafe to eat.