2. Answer the following questions using the separate rates X1,..., X20 and Y1, . . , Y20 shown in Figure 1. (a) Carry out the calculations for a test of the hypotheses that the mean U.S. mortality rate Op remained the same or increased from 2005 to 2015 against the alternative that the mean mortality rate decreased. State the hypotheses, test statistic, rejection region, and p-value. Do not interpret the conclusion of the test.

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Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Part A 

2. Answer the following questions using the separate rates X1,..., X20 and Y1, . . . , Y20 shown in
Figure 1.
(a) Carry out the calculations for a test of the hypotheses that the mean U.S. mortality rate
Op remained the same or increased from 2005 to 2015 against the alternative that the
mean mortality rate decreased. State the hypotheses, test statistic, rejection region, and
p-value. Do not interpret the conclusion of the test.
(b) Compute a 99% confidence interval for the change in mean heart rate mortality. Do not
interpret the interval.
(c) How do the test and interval differ from those computed based on the differences in
question 1? What is responsible for this difference mathematically?
Transcribed Image Text:2. Answer the following questions using the separate rates X1,..., X20 and Y1, . . . , Y20 shown in Figure 1. (a) Carry out the calculations for a test of the hypotheses that the mean U.S. mortality rate Op remained the same or increased from 2005 to 2015 against the alternative that the mean mortality rate decreased. State the hypotheses, test statistic, rejection region, and p-value. Do not interpret the conclusion of the test. (b) Compute a 99% confidence interval for the change in mean heart rate mortality. Do not interpret the interval. (c) How do the test and interval differ from those computed based on the differences in question 1? What is responsible for this difference mathematically?
216
115%
PSTAT 120B, Summer 2021 A
Exam 2
Background
The CDC's National Center for Health Statistics website publishes state-level data on heart disease
mortality by year. The CDC comments, "Although adjusted for differences in age-distribution
and population size, rankings by state do not take into account other state specific population
characteristics that may affect the level of mortality. When the number of deaths is small, rankings
by state may be unreliable due to instability in death rates." For this exam you'll investigate the
change in heart disease mortality rates over a ten-year period using tools you've learned in the class
based on a sample of 20 randomly selected states.
Below, Figure 1 shows the distributions of mortality rates for 20 randomly selected U.S. states
in 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 in
2005.
2015
2005
.L
0.020-
0.015-
0.010-
0.005-
0.000 -
150
250
100
150
200
250
100
200
Heart disease mortality rate
400-
300 -
Year
2005
200-
2015
100 -
9 8 盟
State
Figure 1: Top, histograms of age-adjusted heart disease mortality rates (deaths per 100,000) for
each of 20 randomly selected states in 2005 and in 2015; bottom, stacked bar chart of rates for each
state by year.
Heart disease mortality rate
density
Transcribed Image Text:216 115% PSTAT 120B, Summer 2021 A Exam 2 Background The CDC's National Center for Health Statistics website publishes state-level data on heart disease mortality by year. The CDC comments, "Although adjusted for differences in age-distribution and population size, rankings by state do not take into account other state specific population characteristics that may affect the level of mortality. When the number of deaths is small, rankings by state may be unreliable due to instability in death rates." For this exam you'll investigate the change in heart disease mortality rates over a ten-year period using tools you've learned in the class based on a sample of 20 randomly selected states. Below, Figure 1 shows the distributions of mortality rates for 20 randomly selected U.S. states in 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 in 2005. 2015 2005 .L 0.020- 0.015- 0.010- 0.005- 0.000 - 150 250 100 150 200 250 100 200 Heart disease mortality rate 400- 300 - Year 2005 200- 2015 100 - 9 8 盟 State Figure 1: Top, histograms of age-adjusted heart disease mortality rates (deaths per 100,000) for each of 20 randomly selected states in 2005 and in 2015; bottom, stacked bar chart of rates for each state by year. Heart disease mortality rate density
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