prac5stat - QUEEN MARY, UNIVERSITY OF LONDON MTH 4106...

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Unformatted text preview: QUEEN MARY, UNIVERSITY OF LONDON MTH 4106 Introduction to Statistics Practical 5 7 February 2012 Today we will use Minitabs inbuilt information about the Binomial distribu- tion to calculate and plot power curves for hypothesis tests about a proportion. Be sure to complete Practical 4 before you start this one. 1 (One-sided test in the pizza example) In this example, X Bin(20 , p ), where we do not know what p is. Our null hypothesis is that p . 2; the alternative hypothesis is that p < . 2. We are going to consider the following rejection regions: { } { , 1 } { , 1 , 2 } { , 1 , 2 , 3 } and the following values of p : . 05 . 10 . 15 . 20 . 25 . 30 . 35 . Step 1 Put the integers 0, . . . , 3 into a column. Step 2 For p = 0 . 05, calculate the cumulative distribution function of X if X Bin(20 , p ), for values up to 3, and put this into a column called cdf05 . Step 3 Create similar columns for the other six values of p ....
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prac5stat - QUEEN MARY, UNIVERSITY OF LONDON MTH 4106...

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