STAT 1000Q Lecture Notes - Lecture 26: Standard Deviation, S&P 500 Index, Blood Pressure
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Stat 1000q lecture 26 - ci and ht on difference of two population means. Last lecture, we left off talking about errors made in medical testing. This lecture, we nished that discussion and then moved on to chapter 8, inference on the difference of two population means. Physicians tend to fail to understand false positives. If a disease is very rare, and a test for it has a high false positive rate, then if the patient tests positive, the result is highly suspect. P(false positive) = 581/9990 = 0. 058 5. 8% (type i error) P(correct negative) = 9409/9990 = 0. 942 94. 2% (speci city of the test) P(false negative) = 1/10 = 0. 10 10% (type ii error) P(correct positive) = 9/10 = 0. 90 90% (sensitivity of the test) It"s a good test, and doesn"t have a high false positive rate. Examples: mean sat scores of college freshmen in ct vs. Mean sat scores of college freshmen in ma.
