Math 203_Lecture 14

# Math 203_Lecture 14 - Principles of Statistics 1 Lecture 14...

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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

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Comparing two population proportions Principles of Statistics 1 Lecture 14: Math 203 – p. 2/1
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

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An Example A study concerned the effectiveness of using extracts of the herbal medicine St. John’s wort in treating major depression. In an eight-week 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
An Example A study concerned the effectiveness of using extracts of the herbal medicine St. John’s wort in treating major depression. In an eight-week 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

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An Example A study concerned the effectiveness of using extracts of the herbal medicine St. John’s wort in treating major depression. In an eight-week 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
An Example A study concerned the effectiveness of using extracts of the herbal medicine St. John’s wort in treating major depression. In an eight-week 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

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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
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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