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Please show all work Formulate the indicated conclusion in nontechnical terms. B

ID: 3159380 • Letter: P

Question

Please show all work

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation different from the a = 2.5 mg claimed by the manufacturer. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms. There is not sufficient evidence to support the claim that the standard deviation is different from 2.5 mg. There is sufficient evidence to support the claim that the standard deviation is different from 2.5 mg. There is sufficient evidence to support the claim that the standard deviation is equal to 2.5 mg. There is not sufficient evidence to support the claim that the standard deviation is equal to 2.5 mg. Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. A medical researcher claims that 20% of children suffer from a certain disorder. Identify the type I error for the test. Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 20% when that percentage is actually 20%. Reject the claim that the percentage of children who suffer from the disorder is different from 20% when that percentage really is different from 20%. Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 20% when that percentage is actually different from 20%. Reject the claim that the percentage of children who suffer from the disorder is equal to 20% when that percentage is actually 20%.

Explanation / Answer

The original claim is H0:sigma=2.5

There is not sufficeient evidence to claim that the standard deviation is different from 2.5 mg since the conclusion is to failure to reject the null hypothesis.

The original claim is H0:p=0.20

The type I error is:

REject the claim that the percentage of children wh suffer from the disorder is equal to 20% when the percentage is actually 20%.

The type II error is:

Fail to REject the claim that the percentage of children wh suffer from the disorder is equal to 20% when the percentage is actually different from 20%.

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