Answered: 4) In the p-value approach, if… | bartleby

College Algebra (MindTap Course List)

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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4)
In the p-value approach, if p-value>a (the level of significance) we reject
the null hypothesis.
5)
If you fail to reject the null hypothesis at the 5% level, then the probability
that you are wrong is always 5%.
A wider confidence interval gives a greater level of confidence than a
6)
narrower one (when working with the same data).

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What is meant by the sample space of an experiment?
If we REJECT the null hypothesis H0: μ=50 at the 0.05 significance level, then the 95% confidence interval for μ will NOT contain the value 50. True False
The Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age. It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level. (a) How large the size of a sample needs to be if we want to a 90% confidence level with a margin of error no more than 1.5%?(b) Conduct a hypothesis testing of whether over 60% of the population thought that licensed drivers should be required to retake their road test once they turn 65? That is, test the hypotheses H0: p = 0.6 and Ha: p > 0.6, where p is proportion of American adults that thought licensed drivers should be required to retake their road test once they turn 65. Please report the test statistic and the P-value, and make a conclusion using a 0.01 significance level.

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