For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim.   The Western blot assay is a blood test for the presence of HIV. It has been found that the test sometimes gives false positive results for HIV.  A medical researcher claims that the rate of false positives is 2%.  A recent study of 300 randomly selected U.S. blood donors who do not have HIV found that 5 received a false positive test result.  Perform the appropriate hypothesis test at α = 0.05.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including:

  1. Identifying the claim and H0 and Ha,
  2. Finding the appropriate standardized test statistic,
  3. Finding the P-value or the rejection region,
  4. Deciding whether to reject or fail to reject the null hypothesis, and
  5. Interpreting the decision in the context of the original claim.

 

  1. The Western blot assay is a blood test for the presence of HIV. It has been found that the test sometimes gives false positive results for HIV.  A medical researcher claims that the rate of false positives is 2%.  A recent study of 300 randomly selected U.S. blood donors who do not have HIV found that 5 received a false positive test result.  Perform the appropriate hypothesis test at α = 0.05.

 

 

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