STAT 263 Lecture 12: Bonus Hypothesis Brief Questions

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= 0. 01 (c) ha: > 30. 0. Possible alternative hypotheses: (a) ha: 30. 0 (b) ha: < 30. 0. Hypothesis testing: critical value(s), conclusions, and p-value practice. Assume you are dealing with one random sample and doing a test about the population mean. If n < 30, assume the underlying population is normally distributed. On the exam i won"t ask you about whether the decision is close or not, but it is interesting to think about. ) Example: given: n = 35, = 0. 01, alternative hypothesis (b) and the observed value of the test statistic is zo = 2. 35. We do have evidence at the 1% level of significance to conclude < 30. 0. We do have evidence at the 5% level of significance to conclude 30. 0; p-value 0. 0366. We do have evidence at the 1% level of significance to conclude > 30. 0; p-value 0. 0021. We do have evidence at the 5% level of significance to conclude < 30. 0; p-value 0. 0329.

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