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Type II and type II errors

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A man is on trial accused of murder in the first degree. The prosecutor presents evidence that he hopes will convince the jury to reject the hypothesis that the man is innocent. This situation can be ...there is moreshow problem A man is on trial accused of murder in the first degree. The prosecutor presents evidence that he hopes will convince the jury to reject the hypothesis that the man is innocent. This situation can be modeled as a significance test with the following hypotheses:

Ho: The defendant is innocent

H1: The defendant is not innocent

Suppose that the null hypothesis is rejected and alternate hypothesis is accepted. Discuss the conclusion as a Type I error, a Type II error, or a correct decision, if in fact the defendant is innocent.

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Solution Summary

This solution explains Type I and Type II errors in a hypothesis test regarding a jury trial

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Question about Type I and Type II Errors

The Oasis Chemical Company develops and manufactures pharmaceutical drugs for distribution and sale in the United States. The pharmaceutical business can be very lucrative when useful and safe drugs are introduced into the market. Whenever the Oasis research lab considers putting a drug into production, the company must establish the following sets of null and alternative hypotheses:

Set 1 Set 2
Ho: The drug is safe Ho: The drug is effective
Ha: The drug is not safe Ha: The drug is not effective

a. For each set of hypotheses, describe what circumstances would suggest that a Type I error would be of more concern. Carefully Explain.

b. For each set of hypotheses, describe what circumstances would suggest that a Type II error would be of more concern. Carefully Explain.

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