{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"mmlu","formal_name":"MMLU","introduction":"MMLU asks four-way multiple-choice questions across 57 subjects, from elementary material to professional-level examinations. Since 2020 it has been the most widely cited single reference point for general capability.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/test","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"1aca820d-4d97-5128-a4c1-234803cb2b3b","task_key":"all--test--1aca820d-4d97-5128-a4c1-234803cb2b3b","task_revision_id":"1","upstream_id":"","short_description":"Suppose that we are interested in testing the null hypothesis that a GARCH(2,2)…","config":"all","split":"test","body":"{\"choices\":\"['The test statistic will follow a chi-squared distribution with 2 degrees of freedom under the null hypothesis', 'The value of the log-likelihood function will almost always be bigger for the restricted model than for the unrestricted model', 'If the relevant values of the log-likelihood functions are -112.3 and -118.4, the value of the test statistic is 12.2', 'The likelihood ratio test compares the slopes of the log-likelihood function at the maximum and at the restricted parameter value.']\",\"question\":\"Suppose that we are interested in testing the null hypothesis that a GARCH(2,2) model can be restricted to a process with a constant conditional variance using the likelihood ratio test approach. Which of the following statements are true?\",\"subject\":\"econometrics\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/test","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}