hypothesis testing Flashcards","topicId":"6425c8ac-4dce-4813-a646-fdccead1d8d1","topicSlug":"language-of-hypothesis-testing","cards":[{"id":"c35a8ba8-5e85-4d08-a1c4-dfa8ed0baaa0","cardType":"basic","front":"Should a hypothesis use the population parameter $p$ or the observed sample proportion?","back":"Use the population parameter $p$.","points":1,"mcqOptions":null},{"id":"57aa6e37-2578-4b7a-a3c1-494bab2582c9","cardType":"basic","front":"A school claims $p=0.60$. What is $H_0$?","back":"$H_0:p=0.60$","points":1,"mcqOptions":null},{"id":"095f87f7-a5c1-462d-ae22-cdf385032c48","cardType":"basic","front":"A researcher investigates whether $p=0.60$ has decreased. What is $H_1$?","back":"$H_1:p<0.60$","points":1,"mcqOptions":null},{"id":"b6169bf5-ef0a-4787-be85-19f5e434d242","cardType":"cloze","front":"The alternative hypothesis must be chosen [ ].","back":"The alternative hypothesis must be chosen before examining the sample result.","points":null,"mcqOptions":null},{"id":"5e32b47e-3ea5-4a9d-bbb1-48a04248f918","cardType":"basic","front":"Under $H_0$, what distribution is used for a binomial test statistic?","back":"$X\\sim\\operatorname{B}(n,p)$, using the value of $p$ in $H_0$.","points":1,"mcqOptions":null},{"id":"fb2965de-4fe6-43fe-a209-6ec24f0449b0","cardType":"basic","front":"Why would a changing probability of success invalidate a binomial model?","back":"The binomial model requires a constant probability of success.","points":2,"mcqOptions":null},{"id":"053a2abe-a73a-40e4-ac33-2d0366ed8d4a","cardType":"cloze","front":"The significance level $\\alpha$ is the maximum probability of [ ].","back":"The significance level $\\alpha$ is the maximum probability of rejecting $H_0$ when $H_0$ is true.","points":null,"mcqOptions":null},{"id":"de9a8ff4-8687-4e26-8c7f-9d2ce16de793","cardType":"basic","front":"What effect does reducing the significance level have on the evidence required against $H_0$?","back":"It demands stronger evidence against $H_0$.","points":1,"mcqOptions":null},{"id":"8cbf2ebe-c75d-4a7b-8199-3c97098e0dd0","cardType":"basic","front":"Which tail is used when $H_1:p>p_0$?","back":"The upper tail.","points":1,"mcqOptions":null},{"id":"fbb12a3d-ba1e-4323-80a1-ae44e1306b76","cardType":"basic","front":"Which tail is used when $H_1:p<p_0$?","back":"The lower tail.","points":1,"mcqOptions":null},{"id":"74d10f80-4909-42cc-86aa-89a3041a6c0c","cardType":"cloze","front":"When $H_1:p\\neq p_0$, the significance level is [ ].","back":"When $H_1:p\\neq p_0$, the significance level is shared between both tails.","points":null,"mcqOptions":null},{"id":"9341034b-5c2f-4f57-9efb-258a34c9e8a0","cardType":"basic","front":"What decision is made when the test statistic lies in the critical region?","back":"Reject $H_0$.","points":1,"mcqOptions":null},{"id":"31e62753-22aa-4cf5-b536-d7f2853a0905","cardType":"basic","front":"What does a result in the acceptance region imply?","back":"There is insufficient evidence to reject $H_0$.","points":1,"mcqOptions":null},{"id":"ea683f28-c371-48cf-946a-eac5d4d537fd","cardType":"basic","front":"Why may a binomial critical region have probability less than $\\alpha$?","back":"The binomial distribution is discrete, so exact equality may be impossible.","points":2,"mcqOptions":null},{"id":"d19651a7-e8c0-48ea-b24c-16765a051cbb","cardType":"cloze","front":"A binomial critical region must have probability [ ] under $H_0$.","back":"A binomial critical region must have probability no greater

2.5.1 Language of hypothesis testing Flashcards

2.5.1 Language of hypothesis testing Flashcards