language of hypothesis testing Flashcards","topicId":"49bfda56-7972-4149-8589-bfd048f6c995","topicSlug":"the-language-of-hypothesis-testing","cards":[{"id":"2aecebf0-689e-4ffe-8f70-03f2ecf2eb2b","cardType":"basic","front":"When is $X$ modelled by a binomial distribution?","back":"There are $n$ independent trials, each with the same success probability $p$.","points":2,"mcqOptions":null},{"id":"c2172255-9454-46ad-a8df-a97b1686cee8","cardType":"basic","front":"Should binomial hypotheses refer to $p$, $X$, or the observed sample proportion?","back":"They refer to the population probability $p$.","points":1,"mcqOptions":null},{"id":"1289bc8e-bb14-456d-8bc0-68313b9d5459","cardType":"cloze","front":"For a binomial test, the null hypothesis has the form $\\text{[...]}$.","back":"For a binomial test, the null hypothesis has the form $\\boxed{H_0:p=p_0}$.","points":null,"mcqOptions":null},{"id":"064013b5-b2bd-4812-b36b-d821dd9f9210","cardType":"basic","front":"What alternative hypothesis tests whether a defect probability has increased from 0.08?","back":"$H_1:p>0.08$","points":1,"mcqOptions":null},{"id":"7aa72091-c9b2-47aa-b81d-25e7ef8b45d2","cardType":"basic","front":"Under $H_1:p>p_0$, which values of $X$ provide evidence against $H_0$?","back":"Unusually large values of $X$.","points":1,"mcqOptions":null},{"id":"86da69cd-3fc9-4d77-b297-6ade909a878b","cardType":"basic","front":"Under $H_1:psmall values of $X$.","points":1,"mcqOptions":null},{"id":"bff4b0db-80bd-4993-aaf0-8a3492cd6a61","cardType":"basic","front":"What alternative hypothesis tests for a change in either direction?","back":"$H_1:p\\neq p_0$","points":1,"mcqOptions":null},{"id":"eea3decd-d28c-4a05-9406-e737e7717bf5","cardType":"cloze","front":"After the experiment, the observed test statistic is a particular value usually written $\\text{[...]}$.","back":"After the experiment, the observed test statistic is a particular value usually written $\\boxed{x}$.","points":null,"mcqOptions":null},{"id":"49d20fe3-9e48-4e06-9107-1bd990adaebf","cardType":"cloze","front":"The significance level $\u0018alpha$ is the maximum probability allowed for [ ].","back":"The significance level $\u0018alpha$ is the maximum probability allowed for rejecting $H_0$ when $H_0$ is true.","points":null,"mcqOptions":null},{"id":"093fed31-ced0-499a-8afa-427cbec43c9f","cardType":"basic","front":"What effect does reducing the significance level have on the evidence needed to reject $H_0$?","back":"It demands stronger evidence.","points":2,"mcqOptions":null},{"id":"d7c75504-9003-4ce0-bd0a-447683f0d419","cardType":"basic","front":"What error occurs when a true null hypothesis is rejected?","back":"A Type I error.","points":1,"mcqOptions":null},{"id":"2ae2de0d-36ec-469f-a36c-a118e0bbc042","cardType":"cloze","front":"The [ ] contains the test-statistic values that lead to rejection of $H_0$.","back":"The critical region contains the test-statistic values that lead to rejection of $H_0$.","points":null,"mcqOptions":null},{"id":"8a9be0df-91b8-4b60-ac0a-7dcdca28c3ba","cardType":"basic","front":"Why does a result in the acceptance region not prove $H_0$?","back":"It shows only insufficient evidence to reject $H_0$.","points":2,"mcqOptions":null},{"id":"d82b32f0-7521-4787-91b6-deade824fbfd","cardType":"basic","front":"Why can the actual significance level of a binomial test be below the stated level?","back":"The binomial distribution is discrete, so an exact boundary may be impossible.","points"

2.5.1 The language of hypothesis testing Flashcards

2.5.1 The language of hypothesis testing Flashcards