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Chapter 9 Hypothesis Tests

# Chapter 9 Hypothesis Tests - the null or the alternative is...

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Chapter 9 – Hypothesis Tests Developing Null and Alternative Hypotheses Testing Research Hypotheses - In research studies, the null and alternative hypotheses should be formulated so that the rejection of H 0 supports the research conclusion (the research hypothesis should be expressed as the alternative hypothesis) Testing the Validity of a Claim - The null hypothesis is generally based on the assumption that the claim is true; the alternative hypothesis is then formulated so that rejection of H 0 will provide statistical evidence that the stated assumption is incorrect Testing in Decision-Making Situations - Action is taken both when H 0 cannot be rejected and when H 0 can be rejected Summary of Forms for Null and Alternative Hypotheses - The first two forms, which use inequalities in the null hypothesis, are one-tailed tests - The third form, which uses an equality in the null hypothesis, is a two-tailed test Type I and Type II Errors - The null and alternative hypotheses are competing statements about the population; either
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Unformatted text preview: the null or the alternative is true, but not both-Ideally, the hypothesis testing procedure should lead to the acceptance of H when H is true and the rejection of H when H a is true-Accepting H when H a is true is a Type II error, and rejecting H when H is true is a Type I error-The probability of making a Type I error when the null hypothesis is true as an equality is called the level of significance-The level of significance is denoted by , and is commonly .05 or .01-By selecting the level of significance, one is controlling the probability of making a Type I error ; if the cost of making a Type I error is high, small values of are preferred. In contrast, if the cost of making a Type I error is not high, larger values of can be used-Applications of hypothesis testing that only control for the Type I error are often called significance tests Population Mean: Known One-Tailed Test-...
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