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The Result of a Hypothesis Is Described in Terms of the Probability

Question 58

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The result of a hypothesis is described in terms of the probability of obtaining a particular sample. Use the given contextto formulate the null and alternative hypotheses. Discuss whether the sample provides evidence for rejecting the nullhypothesis.
-A company claims that the proportion of defectives among its new DVD players is only 0.01(1%)0.01 ( 1 \% ) . A consumer group believes that the proportion of defectives is higher than this. The consumer group picks a random sample of 200 of the DVD players and finds the proportion of defectives in the sample to be 0.0220.022 . Assuming that the proportion of defectives for all the company's DVD players is p=0.01p = 0.01 , the probability of selecting a sample in which the proportion of defectives is 0.0220.022 or more is 0.0440.044 .

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Null hypothesis: proportion of defective...

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