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Problem: Multiple choice In hypothesis testing, it is better to \"fail to reject

ID: 3362536 • Letter: P

Question

Problem: Multiple choice

In hypothesis testing, it is better to "fail to reject Ho" rather than "accept Ho" when the resulting p-value is large because Ho was assumed to be true and:

a.         the sample size may have been too high

            b.         the power of the test may have been too low

            c.         the alternative hypothesis was presumed to be true

            d.         the power of the test may have been too high

If we repeatedly sample from a population and calculate the standard deviation for each sample, what would the grouping of all these calculated values be called?

a.         a random sample

            b.         the Central Limit Theorem

            c.         the sampling distribution of the mean

            d.         the sampling distribution of the standard deviation

We have created a 96% confidence interval for the mean and it is (83.6 to 91.4).

            What conclusion will we make if we test Ho: mean =84 vs. Ha: mean (not=) 84

            at a level of significance of = .04?

            a.         fail to reject Ho

            b.         accept Ho as a true statement

            c.         reject Ho (Ha is more likely)

            d.         we are unable to tell what the result will be

Explanation / Answer

In hypothesis testing, it is better to "fail to reject Ho" rather than "accept Ho" when the resulting p-value is large because Ho was assumed to be true and: d.         the power of the test may have been too high

Power of the test is the probability of rejecting a false null hypothesis.

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If we repeatedly sample from a population and calculate the standard deviation for each sample, what would the grouping of all these calculated values be called   d.         the sampling distribution of the standard deviation

Repeated sampling of sample size give us sampling distribution of that sample statistics.

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Since confidence interval contains 84 so we fail to reject the null hypothesis at 96% level of significance.

a.         fail to reject Ho

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