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Unformatted text preview: Principles of Statistics 1 Lecture 14: Math 203 Abbas Khalili Department of Mathematics and Statistics McGill University May 25, 2011 Principles of Statistics 1 Lecture 14: Math 203 – p. 1/1 7 Comparing two population proportions Principles of Statistics 1 Lecture 14: Math 203 – p. 2/1 7 An Example A study concerned the effectiveness of using extracts of the herbal medicine St. John’s wort in treating major depression. Principles of Statistics 1 Lecture 14: Math 203 – p. 3/1 7 An Example A study concerned the effectiveness of using extracts of the herbal medicine St. John’s wort in treating major depression. In an eightweek randomized, controlled trail, 200 patients diagnosed with major depression were divided into two groups: Principles of Statistics 1 Lecture 14: Math 203 – p. 3/1 7 An Example A study concerned the effectiveness of using extracts of the herbal medicine St. John’s wort in treating major depression. In an eightweek randomized, controlled trail, 200 patients diagnosed with major depression were divided into two groups: one of which ( n 1 = 98 ) received St. John’s wort extract while the other group ( n 2 = 102 ) received a placebo (no drug). Principles of Statistics 1 Lecture 14: Math 203 – p. 3/1 7 An Example A study concerned the effectiveness of using extracts of the herbal medicine St. John’s wort in treating major depression. In an eightweek randomized, controlled trail, 200 patients diagnosed with major depression were divided into two groups: one of which ( n 1 = 98 ) received St. John’s wort extract while the other group ( n 2 = 102 ) received a placebo (no drug). At the end of the study period, 14 of the St. John’s wort patients were in remission, compared to 5 of the placebo patients. Principles of Statistics 1 Lecture 14: Math 203 – p. 3/1 7 An Example A study concerned the effectiveness of using extracts of the herbal medicine St. John’s wort in treating major depression. In an eightweek randomized, controlled trail, 200 patients diagnosed with major depression were divided into two groups: one of which ( n 1 = 98 ) received St. John’s wort extract while the other group ( n 2 = 102 ) received a placebo (no drug). At the end of the study period, 14 of the St. John’s wort patients were in remission, compared to 5 of the placebo patients. Question : Is St. John’s wort effective in treating major depression? Principles of Statistics 1 Lecture 14: Math 203 – p. 3/1 7 If St. John’s wort is effective in treating the major depression, then the proportion of St. John’s wort patients in remission will exceed the proportion of placebo patients in remission. Principles of Statistics 1 Lecture 14: Math 203 – p. 4/1 7 If St. John’s wort is effective in treating the major depression, then the proportion of St. John’s wort patients in remission will exceed the proportion of placebo patients in remission....
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This note was uploaded on 07/15/2011 for the course MATH 203 taught by Professor Dr.josecorrea during the Summer '08 term at McGill.
 Summer '08
 Dr.JoseCorrea
 Math, Statistics

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