3. Food deserts have become a particularly hot topic in the public health community as an explanation for a variety of negative health outcomes in disadvantaged areas. A researcher is interested in comparing the average shelf space provided by supermarkets, convenience stores, and corner stores in two different communities in order to address the growing concern for food deserts. Assume the following table reports the summary statistics for shelf space dedicated to fresh fruits and vegetables (meters) from a sample of a variety of different stores that supply groceries from each community. Community Average Shelf Space Sample Standard Sample Size for Fresh Fruits and Deviation Vegetables (111) \"Food Desert\" 15,7 2,4 12 Other Community 924 14.6 14 A) Carry out the appropriate statistical test in order to determine if there is a signicant di'erence in mean shelf space between the two communities at the alpha level of 0.05. Assume all conditions for the test are met. Write out your null and alternative hypotheses, test statistic, and critical value before you make your conclusion, B) Construct a 95% condence interval for your estimate for the average difference in shelf space provided for fresh fruits and vegetables. Provide an interpretation for your interval