Eight regions were selected from State A. Each of these regions was matched with a region from State B based on different economics and public health factors. Then infant mortality rate (IMR) was compared in the corresponding regions.

Test if the mean IMR is the same in both states? a) What is the appropriate method for this testing? (what kind of test) b) Estimate a 95% confidence for the true difference in mean IMR between the two state groupings! c) State your null and alternative hypotheses for the corresponding hypothesis test! Report a p-value for the hypothesis test! d) Do the results from the 95% confidence level and the p-value agree in terms of the null hypothesis (using =.05 for the hypothesis test)? e) What would your results be for a) - d) if you had 32 region pairs, and the mean difference and standard deviation of the difference were the same?