{"blocks": [{"key": "a3a71f1b", "text": "Scenario", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "6e5eb487", "text": "Assessing statistical knowledge for disease-testing model evaluation", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "d7f1829f", "text": "Question", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "26d62a4d", "text": "Explain the Central Limit Theorem, its prerequisites, and when it fails.", "type": "unordered-list-item", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "261c8d99", "text": "Describe Bayesian inference and why it is widely used.", "type": "unordered-list-item", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "59e6cedf", "text": "A disease affects 1/1000 people. A test predicts positives with 95% accuracy and negatives with 98% accuracy. If the test flags someone positive, what’s the probability they are truly infected? Show your reasoning.", "type": "unordered-list-item", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "d27e7130", "text": "Hints", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "be5ca52d", "text": "Discuss i.i.d. assumptions, sampling size, Bayes’ formula; build a confusion matrix and compute posterior probability.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}], "entityMap": {}}