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1. We thought that both populations we’re interested in had the same proportion for some…

1. We thought that both populations we’re interested in had the same proportion for some…

1. We thought that both populations we're interested in had the same proportion for some characteristic of interest. A pair of samples each of size 100 yield proportions of 0.22 and 0.31. Now what do you think? 2. Let W = X + Y where X and Yare the number of dots on the top and bottom faces, respectively, of a die. So W is the constant random variable which always takes the value seven. First, guess the mean and variance of W. Then calculate the mean and variance of W from those of X and Y using the appropriate formulas.