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Classify the conclusion of the hypothesis test as a Type I error, a Type II error,...

Classify the conclusion of the hypothesis test as a Type I error, a Type II error, or a correct decision. 6) (3 points) The maximum acceptable level of a certain toxic chemical in vegetables has been set at 0. 4 parts per million (ppm). A consumer health group measured the level of the chemical in a random sample of tomatoes obtained from one producer to determine whether the mean level of the chemical in these tomatoes exceeds the recommended limit. The hypotheses are H 0 : µ = 0.4 ppm H a : µ > 0.4 ppm where µ is the mean level of the chemical in tomatoes from this producer. Suppose that the results of the sampling lead to nonrejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean level of the chemical in these tomatoes is greater than 0.4 ppm. A) Correct decision B) Type I error C) Type II error

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Answer:

Here the scenario is the non-rejection of a false null hypothesis.

Hence Type II error

Other options are incorrect as Type I error means rejection the true null hypothesis

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