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AP Statistics: Hypothesis Testing Flashcards

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6543879893Test of HypothesisA decision procedure for evaluating the validity of a null hypothesis based on examining the value of a test statistic computed from a sample0
6543879894Null HypothesisThe hypothesis of no difference, no change, and no association; usually written in the form Ho: parameter = hypothesized value.1
6543879895Alternate HypothesisThe statement you will adopt in the situation in which the evidence (data) is so strong that you reject the null hypothesis.2
6543879896Type I ErrorRejecting a null hypothesis when it is in fact true; often results in a false positive3
6543879897Type II ErrorFailing to reject a null hypothesis when it is in fact false; often results in a false negative4
6543879898Probability of a Type I ErrorThe level of significance (or the α-level); the acceptable α-level is set by the researcher based on the context of the problem5
6543879899Probability of a Type II ErrorIncreases when the variability of the sampling distribution increases; decreases as alpha increases or as the actual population parameter varies more substantially from the hypothesized value6
6543879900PowerThe probability of a hypothesis test correctly rejecting the null hypothesis; increases as alpha increases7
6543879901Level of SignificanceThe level at which the researcher believes that the study results most likely represent a non-chance event; also the probability of making a type I error.8
6543879902Test StatisticA measure of how much the sample differs from the null hypothesis; for z and t, measured in the number of standard deviations (or standard errors) from the hypothesized mean9
6543879903Observed Significance LevelThe probability, on the supposition that Ho is true, of obtaining a result at least as contrary to Ho as the result actually observed in the sample data; aka a p-value.10
6543879904Rejection RegionIdentifies the unlikely values of the test statistic for which the null hypothesis will be rejected at the alpha level of significance11
6543879905p-valueThe probability of observing a test statistic at least as extreme as the statistic obtained from a sample, given that the null hypothesis is true.12
6543879906statistical significanceA statistical statement of how likely it is that an obtained result occurred by chance13
6543879907Reject HoHypothesis decision based on higher values for test statistic and lower p-values that yields statistically significant results14
6543879908Fail to Reject HoHypothesis decision based on lower values for the test statistic and higher p-values that indicates a lack of statistically significant results15

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