HSCI 2203 - Assignment #8

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California State University, San Bernardino *

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Statistics

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May 15, 2024

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Descriptive Statistics: The Basics Volume 1 Understanding the Statistical Concepts in Public Health Supplemental Reading Material Assignment #8 (20 points) 1. Using the table below, find the estimated probabilities. Be sure to include all probability statements using symbols for each question (a-h) and show your work for full credit. ( 1 point each for a total of 8 points ). Include probability statements and all steps. *Unconditional = divide by total of all in the study, Conditional = divide by total state population a) Find the unconditional (overall) probability that an 8-year-old child living in the 11 states had ASD. b) Find the unconditional (overall) probability that an 8-year-old child living in the 11 states was free from ASD. c) Find the unconditional (overall) probability that an 8-year-old child had ASD and lived in Colorado. State Number Free of ASD Number with ASD Total Population Arizona 23,543 278 23,821 Arkansas 41,202 551 41,753 Colorado 39,976 572 40,548 Georgia 49,967 876 50,843 Maryland 9765 201 9,966 Minnesota 9533 234 9,767 Missouri 25,997 456 26,453 New Jersey 32,757 986 33,743 North Carolina 28,452 498 28,950 Tennessee 24,988 437 25,425 Wisconsin 34, 596 511 35,107 States Totaled 320,776 5600 326,376

d) Find the unconditional (overall) probability that an 8-year-old child was free from ASD and lived in Wisconsin. e) Find the conditional probability that an 8-year-old child had ASD given they lived in New Jersey. f) Find the conditional probability that an 8-year-old child was free of ASD given they lived in Maryland. g) Find the conditional probability that an 8-year-old child was free from ASD given they lived in Georgia. h) Find the conditional probability that an 8-year-old child that lived in Arizona was free from ASD 2. Using the tables below for calculation reference and the values given in the table on Page 3 , assess the performance of the screening tests on page 3 of this assignment. Show your work for full credit. ( 2 points each for a total of 8 points )

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