# Week10 - Stat231 William Marshall Stat231 William Marshall...

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Unformatted text preview: Stat231 William Marshall Stat231 William Marshall July 6, 2010 Stat231 William Marshall Week 10 Goals: CLT based hypothesis test Relative likelihood based hypothesis test Summary Stat231 William Marshall CLT based Steps are the same for CLT based hypothesis tests Discrepancy measure D = ¯ Y- E ( Y ) SE ( ¯ Y ) Sampling distribution - For large values of n ¯ Y- E ( Y ) SE ( ¯ Y ) ∼ G (0 , 1) Calculation and interpretation of p-values is the same p- val = P ( D > d obs ) Stat231 William Marshall Example 18 A standard treatment for a plant disease has a success rate of 75%. To test a new treatment, 100 plants with the new treatment are exposed to the virus that causes the disease and 82 survive. Is there any evidence that the new treatment has a different survival rate than the standard? Model: Y ∼ Binom (100 ,π ) Data: y=82 Stat231 William Marshall Ex18 continued H : π = 0 . 75 ˆ π = y n = 0 . 82 Discrepancy measure | ˜ π- π | SE (˜ π ) The p-value P ( D ≥ d obs ) There is weak evidence against the hypothesis The new treatment may have a different survival rate than the standard treatment Stat231 William Marshall Example 19 Under severe conditions, the effective life (in hours) of a...
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## This note was uploaded on 11/21/2011 for the course MATH STAT 231 taught by Professor Marsh during the Spring '10 term at Waterloo.

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Week10 - Stat231 William Marshall Stat231 William Marshall...

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