Question

In: Physics

The table below lists infant mortality in Maryland in 2007 and the estimated racial breakdown of...

The table below lists infant mortality in Maryland in 2007 and the estimated racial breakdown of the U.S. population according to the 2000 census. Calculations should be done by hand, but feel free to use software or Excel to check your work. The total U.S. population is 281,421,906.

race

Infant mortality (per 1000 births) - Maryland 2007

% of U.S. population (2000)

White

4.6

75.1

Black

14.0

12.3

Hispanic

3.8

12.5

  1. (1) If possible, calculate the crude infant mortality rate for Maryland (all races).
  2. (2) Calculate the race-adjusted infant mortality rate for 2007 Maryland using the U.S. population in 2000 as the standardizing population.
  3. (1) The U.S. population is 281,421,906. Is that needed to solve this problem?

Solutions

Expert Solution

Solution (a):

Crude or average infant mortality rate (of all races) of Maryland in 2007 can be calculated if following data are available:

(1) Infant mortality rate for each race in 2007.

(2) Total Population of Maryland in 2007.

(3) % population of each race in Maryland in 2007.

Out of all three requirements, only (1) is available. (2) and (3) are missing in the question. Hence, we CANNOT calculate the crude infant mortality rate (of all races) of Maryland in 2007.

Solution (b):

The race-adjusted infant mortality rate for 2007 Maryland using the U.S. population in 2000 as the standardizing population can be calculated using following formula:

Weighted Rate (per 1000) =[(White IMR*White Population)+(Black IMR*Black Population)+(Hispanic IMR*Hispanic Population)] /Total US Population ..........(1)

where IMR --> Infant Mortality rate

The calculations using (1) have been summarized in Table I below for easier understanding.

Total US Population = 281421906

Table I: Solutions.

Race IMR (per 1000) % of US Population Race population
A B C D=(C/100)*Total US Population
White 4.6 75.1 211347851.406
Black 14 12.3 34614894.438
Hispanic 3.8 12.5 35177738.25


ANSWER = Weighted Rate (per 1000) = 5.6516 per 1000 (calculated using (1)).

Solution (c):

As can be seen from Solution (b) above, Total US Population IS REQUIRED for these calculations.


Related Solutions

The table below lists pitches in a baseball game for two pitchers and the breakdown of...
The table below lists pitches in a baseball game for two pitchers and the breakdown of “strikes” and “balls” (good pitches and bad pitches). The summary statistics are also listed. Pitcher Strikes Balls Total Bumgarner 76 32 108 Cueto 76 41 117   Bumgarner                  Cueto             Sample Mean (pitches per inning) 12.0                              13.0             Sample Variance (pitches per inning) 3.5 8             Sample Size (# of innings) 9 9              (an “inning” is one of the rounds in a...
Consider the bivariate regression results below for a model of infant mortality rate (deaths per 1000...
Consider the bivariate regression results below for a model of infant mortality rate (deaths per 1000 live births) as a function of GDP per capita measured in $1,000s. The regression model was estimated with data for a sample of 42 countries. Parameter Estimate Standard Error Constant 87.53 6.18 GDP per capita -2.21 0.32 a) How much does the regression model predict the infant mortality rate will change from a 12 unit increase in GDP per capita (i.e., $10,000 per capita...
.Table below is a 2 × 2 table from an article that studied effects of racial...
.Table below is a 2 × 2 table from an article that studied effects of racial characteristics on whether persons convicted of homicide received the death penalty. The 674 subjects classified in the table were the defendants in indictments involving cases with multiple murders in Florida between 1976 and 1987. Is there enough evidence that the death penalty was imposed less often on black defendants than on white defendants?       Death Penalty Yes No TOTAL Defendant’s Race White 53 430...
The following table gives mean daily calorie intake (all residents) and infant mortality rate (per 1000...
The following table gives mean daily calorie intake (all residents) and infant mortality rate (per 1000 births) for ten countries. Country                Mean Daily Calories           Infant Mortality Rate      Afghanistan                      1523                              154              Austria                         3495                                 6              Burundi                        1941                              114             Colombia                       2678                               24              Ethiopia                         1610                             107             Germany                        3443                                6               Liberia                          1640                             153          New Zealand                     3362                                 7              Turkey                          3429                               44                USA                           3671                                 7 a) Find the regression equation. b) Calculate the correlation coefficient, accurate to three decimal places   c) Test the significance of the correlation coefficient with a 0.05 level of significance. Include definition of hypotheses, test statistic, p-value or critical value, decision about Ho, and...
#1) The following table gives mean daily calorie intake (all residents) and infant mortality rate (per...
#1) The following table gives mean daily calorie intake (all residents) and infant mortality rate (per 1000 births) for ten countries. Country               Mean Daily Calories           Infant Mortality Rate          Afghanistan                     1523                               154              Austria                         3495                                  6              Burundi                        1941                               114             Colombia                        2678                                24              Ethiopia                         1610                              107             Germany                         3443                                 6               Liberia                          1640                              153          New Zealand                      3362                                  7             ...
The table below gives a breakdown of the root causes of a sample of 90 industrial...
The table below gives a breakdown of the root causes of a sample of 90 industrial accidents. Are there significant differences in the percentage of incidents in the four cause​ categories? Test using alpha =.05. System Cause Number of Incidents Design 24 Procedures 30 Management 22 Training 14 Total 90 Give null, alternative, test statistic, decision, and conclusion.
The table below lists the observed frequencies for all four categories for an experiment.
The table below lists the observed frequencies for all four categories for an experiment. __________________________ Category 1 2 3 4 ___________________________ Observed Frequency 12 14 18 16 _____________________________ The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same. What is the expected frequency for the second category? The null hypothesis for the goodness-of-fit test is that the proportion of all elements of...
The table below lists the earnings (in thousands of dollars) of a random sample of 12...
The table below lists the earnings (in thousands of dollars) of a random sample of 12 male and 12 female salespersons. At alpha = 0.10 can you conclude that there is a difference between males’ and females’ earnings? Male 28 43 64 51 48 44 36 45 67 49 40 65 Female 36 27 51 43 35 48 41 37 34 47 50 43 The claim is “there is a difference between males’ and females’ earnings”
The table below lists the numbers of words spoken in a day by each member of...
The table below lists the numbers of words spoken in a day by each member of randomly selected couples. Complete parts below. Use a 0.05 significant level to test the claim that among couples, males speak fewer words in a day than females. Female 27000 16870 28783 25177 21677 17178 26813 23831 Male 22665 23117 17592 12991 11902 20167 14957 20671 First, you need to check the requirements. 1) it is a __________ _________ Sample; 2) either the number of...
The table below lists the numbers of words spoken in a day by each member of...
The table below lists the numbers of words spoken in a day by each member of randomly selected couples. Complete parts below. Use a 0.05 significant level to test the claim that among couples, males speak fewer words in a day than females. Female 27000 16870 28783 25177 21677 17178 26813 23831 Male 22665 23117 17592 12991 11902 20167 14957 20671 f. What is your conclusion ______________________________ and it means in this context:
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT