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Nancy Boucicault

Nancy B.

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Obtain the graph on your calculator or computer.

What does the correlation imply about the relationship between time (years) and the number of diagnosed AIDS cases reported in the U.S.?

Obtain the graph on your calculator or computer. What does the correlation imply about the relationship between time (years) and the number of diagnosed AIDS cases reported in the U.S.?

Introductory Statistics

Linear Regression and Correlation

Prediction

Questions asked

INSTANT ANSWER

Question 2: Using the information provided, calculate the positive predictive value (PPV) and the prevalence of the Alpha test kit in both populations. The sensitivity of test kit Alpha is 96.0% (0.96) and the specificity is 97.0% (0.97). The negative predictive value of Alpha for households below the federal poverty threshold was 99.55% and 99.90% for those above the threshold. Using the gold standard, in the low income households, 5,000 individuals had detectable lead levels, while for those above the federal poverty threshold, 250 individuals had detectable lead levels. Below Federal Poverty Threshold Gold Standard: Lead Present Gold Standard: Lead Absent Total Positive Screen  5 mg/dL (TP) 4,800 (FP) 1,200 6,000 Negative Screen (FP) 200 (TN) 43,800 44,000 Total 5,000 45,000 50,000 Positive Predictive value (PPV) Prevalence of lead present based on gold standard Above Federal Poverty Threshold Gold Standard: Lead Present Gold Standard: Lead Absent Total Positive Screen  5 mg/dL (TP) 240 (FP) 1,460 1,700 Negative Screen (FP) 10 (TN) 48,290 48,300 Total 250 49,750 50,000 Positive Predictive Value (PPV) Prevalence of lead present based on gold standard Why is the Positive Predictive value (PPV) so drastically different between the 2 sub-populations? (i.e. below and above the poverty threshold). Here’s a review of the role of prevalence in PPV: https://www.youtube.com/watch?v=QqgJHryKOSU

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INSTANT ANSWER

Question 2 (64 points) Using the information in Table 2, complete Table 3. Use the direct approach for age-adjusted rate calculation. The standard population is created by combining the two populations within each age group. Table 2: Death Data in A town and B town in 2019 Age Population A Number of Deaths Population B Number of Deaths <1 3,000 20 7,000 100 1-14 5,000 30 22,000 10 15-34 6,000 75 36,000 50 35-54 15,000 36 22,000 90 55-64 7,000 220 9,000 160 65+ 20,000 1,800 15,000 1,250 Table 3: Standard Population by age, age specific death rates in two populations Age Standard Population (A+B) Death Rate in A Expected Deaths at A’s Rate Death Rate in B Expected Deaths at B’s Rate <1 10,000 1-14 23,000 15-34 37,000 35-54 36,000 55-64 20,000 65+ 36,000 Totals 162,000 ----------- ------------- a. Calculate population A’s crude death rate per 100. [2] b. Calculate population B’s crude death rate per 100. [2} c. Calculate age-specific death rates for population A and add them to the table [12] d. Calculate age-specific death rates for population B and add them to the table [12] e. Calculate expected deaths for population A and add them to the table [12] f. Calculate expected deaths for population B and add them to the table [12] g. Calculate the age-adjusted death rate (A) per 100. [4] h. Calculate the age-adjusted death rate (B) per 100. [4] i. Briefly explain whether or not the crude mortality rates were confounded by age. [4]

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ANSWERED

Breanna Ollech verified

Numerade educator

Question 1 (36 points; 6 points for each rate/interpretation) Table 1: Vital Statistics for Hypothetical Community during Year 2022 Total Midyear Population 2,300,000 Population size, 65 years of age and older 68,000 Number of Infants born alive 8,000 Total deaths (all causes) 5,200 Deaths of infants under 1 year of age 200 Deaths of persons 65 years of age and over 8,000 Deaths from heart disease 280 Deaths from cancer 440 People with diagnosed cancer 2,000 Using the data presented in the table above, calculate and interpret each of the following statistics. a. Crude birth rate per 10,000. 8,000/2,300,000 x 10,000 = 34.78 b. Crude death rate per 10,000. 5,200/2,300,000 x 10,000 = 22.60 c. Age specific death rate for people 65 years of age and older per 10,000. 8,000/ d. Cause-specific death rate for heart disease per 10,000. e. Cause-specific death rate for cancer per 10,000. f. Case-fatality rate for cancer per 100.

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ANSWERED

Lucas Finney verified

Numerade educator

Information was obtained from the Coffeeville parents of 2607 one-month old infants regarding their baby's usual sleeping position. The cumulative incidence of crib death (sudden infant death syndrome) through one year of age in these children was compared between those who were usually put to sleep prone (on their stomach) or in another position (side or back). They obtained the following relative risk RR 3.12; 95% CI 1.11, 8.74 Which interpretation may follow?

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