Part A 2. Answer the following questions using the separate rates X1,..., X20 and Y1, . . . , Y20 shown inFigure 1.(a) Carry out the calculations for a test of the hypotheses that the mean U.S. mortality rateOp remained the same or increased from 2005 to 2015 against the alternative that themean mortality rate decreased. State the hypotheses, test statistic, rejection region, andp-value. Do not interpret the conclusion of the test.(b) Compute a 99% confidence interval for the change in mean heart rate mortality. Do notinterpret the interval.(c) How do the test and interval differ from those computed based on the differences inquestion 1? What is responsible for this difference mathematically? 216115%PSTAT 120B, Summer 2021 AExam 2BackgroundThe CDC's National Center for Health Statistics website publishes state-level data on heart diseasemortality by year. The CDC comments, "Although adjusted for differences in age-distributionand population size, rankings by state do not take into account other state specific populationcharacteristics that may affect the level of mortality. When the number of deaths is small, rankingsby state may be unreliable due to instability in death rates." For this exam you'll investigate thechange in heart disease mortality rates over a ten-year period using tools you've learned in the classbased on a sample of 20 randomly selected states.Below, Figure 1 shows the distributions of mortality rates for 20 randomly selected U.S. statesin 2005 and 2015, as well as a stacked bar chart of the rates for individual states. In the bar chart,the height of the blue bar shows the rate in 2015, and the height of the red bar shows the rate in2005.20152005.L0.020-0.015-0.010-0.005-0.000 -150250100150200250100200Heart disease mortality rate400-300 -Year2005200-2015100 -9 8 盟StateFigure 1: Top, histograms of age-adjusted heart disease mortality rates (deaths per 100,000) foreach of 20 randomly selected states in 2005 and in 2015; bottom, stacked bar chart of rates for eachstate by year.Heart disease mortality ratedensity

Name: Part A 2. Answer the following questions using the separate rates X1,.
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Description: Part A 2. Answer the following questions using the separate rates X1,..., X20 and Y1, . . . , Y20 shown inFigure 1.(a) Carry out the calculations for a test of the hypotheses that the mean U.S. mortality rateOp remained the same or increased from 200