For the above question, repeat your analysis with Beta(1,1) prior, which reflects our ignorance about the possible values of μ.
1. Suppose that we believe that the population proportion of newborn babies with low birthweight is around 0.3. Use R-Commander to find a beta probability distribution that reflects our knowledge. Use the birthwt data (available from the MASS package) to update our prior knowledge. Now suppose that someone hypothesizes that the population proportion of low birthweight babies is different from 30%, and she defines a difference of 5% as significant. What is the probability that this hypothesis is true?
