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Mathematics, 11.07.2021 04:00 blake2001

Genetically modified foods: According to a 2014 Pew Research survey, a majority of the American general public (57%) says 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 says that GM foods are generally unsafe to eat is greater than 57% this year. Given this information, determine whether conditions are met for conducting a hypothesis test. Which of the following statements are true? Choose all that apply.

Group of answer choices

The random condition is not met. We cannot verify that the sample is representative of the population.

The random condition is met. Data is produced from a random sample of the American public.

The independence condition is met. The researchers obtained a random sample of the American pulic, so we know they sampled with replacement.

The independence condition is met. The sample size is smaller than 10% of the population size.

The independence condition is not met. We do not know if the researchers sampled with replacement. Also, the population size is not specified, so we cannot verify that the sample size is less than 10% of the population size.

The normality condition is met. The expected number of successes is 285, and the expected number of failures is 215.

The normality condition is not met. Although the expected number of successes is greater than 10, the expected number of failures is not.

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