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AP Statistics (Chapter 9) Flashcards

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9391419393Significance TestA formal procedure for using observed data to decide between two competing claimes0
9391419394Null HypothesisClaim we weigh evidence against in a significance test1
9391419395Alternative HypthesisThe claim that we are trying to find evidence for in a significance test2
9391419396One-SidedIt states that a parameter is larger than the null hypothesis value or states that the parameter is smaller than the null value3
9391419397Two-SidedIt states that the parameter is different from the null hypothesis value (it could be either larger or smaller)4
9391419398P-ValuesThe probability, computed assuming the null hypothesis is true, that the statistic would take a value as extreme as or more extreme than the one actually observed, in the direction specified by the alternative hypothesis5
9391419399Reject the Null HypothesisIf the observed result is too unlikely to occur just by chance when the null hypothesis is true, we can ____________________________________________ and say that there is convincing evidence for the alternative hypothesis6
9391419400Fail to Reject Null HypothesisIf the observed result is not very unlikely to occur when the null hypothesis is true, we should _______________________________________________ and say that we do not have convincing evidence for the alternative hypothesis7
9391419401Statistically Significant at the Level (alpha)If the p-value is smaller than alpha, we say that the results of a study are _____________________________________8
9391419402Type I ErrorIf we reject the null hypothesis when the null hypothesis is true9
9391419403AlphaP(Type 1 Error)10
9391419404Type II ErrorIf we fail to reject the null hypothesis when the alternative hypothesis is true11
9391419405BetaP(Type 2 Error)12
9391419406Test StatisticMeasures how far a sample statistic diverges from what we would expect if the null hypothesis were true, in standardized units.13
9391419407Z-Score for the StatisticThe "test statistic" is the same thing as the ____________________________14
9391419408Significance Test - four step processSTATE: what hypotheses do you want to test, and at what significance level? PLAN: Name test. Check conditions. DO: if the conditions are met, perform calculations -compute the test statistic -find the p-value CONCLUDE: make a decision about the hypotheses in the context of the problem15
9391419409Conditions for a One-Sample Z-Test and One-Sample T-TestRandom, Normal, Independent16
9391419410One-sample z test for a proportionUse this test to test a claim regarding a single proportion If the conditions are met. To test the hypothesis null hypothesis:P=Po, compute the z statistic (see image for formula) Find the p-value by calculating the probability of getting a z statistic this large or larger in the direction specified by the alternative hypothesis Ha: Ha:p>p0 Ha:p17
9391419411PowerThe _________________ of a test against a specific alternative is the probability that the test will reject the null hypothesis at a chosen significance level alpha when the specified alternative value of the parameter is true. We made the correct decision.18
9391419412Formula for the Power of the Test1 - beta19
9391419413One-sample t testUse this test to test a claim regarding a single mean (WHEN THE STANDARD DEVIATION OF THE POP IS UNKNOWN)20
9391419414Paired DataStudy designs that involve making two observations on the same individual or one observation on each of two VERY similar individuals result in ...21
9391419415Paired t proceduresWhen paired data result from measuring the same quantitative variable twice, we can make comparisons by analyzing the differences in each pair. If the conditions for inference are met, we can use one-sample t procedures to perform inference about the mean difference mean(d). These methods are called __________________________________22

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