Suppose we are conducting a hypertension-screening program in the home. Consider all possible pairs of DBP measurements of the mother and father within a given mixed gender family, assuming that the mother and father are notgenetically related. In particular, we might be interested in whether the mother or father is hypertensive, which is described, respectively, by events A = {mother's DBP ≥ 90}, B = {father's DBP ≥ 90}. Suppose we know that Pr(A) = 0.09,Pr(B) = 0.21. Let X be the random variable representing the number of hypertensive adults in a given mixed gender family.(a) Derive the probability-mass function for X.X012111(c) What is its variance?Pr(x = x)X(b) What is its expected value?x < 0(d) What is its cumulative-distribution function?0 < x < 11

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Answered: Suppose we are conducting a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 34 arrests last month, 27 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. State the null and alternate hypotheses. H0: p = 0 .7; H1: p < 0.7 H0: p ≠ 0.7; H1: p = 0.7 H0: p < 0 .7; H1: p = 0.7 H0: p = 0.7; H1: p ≠ 0.7 H0: p = 0.7; H1: p > 0.7 What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq < 5. The Student's…
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Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 36 arrests last month, 24 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.7; H1: p > 0.7 H0: p ≠ 0.7; H1: p = 0.7 H0: p = 0 .7; H1: p < 0.7 H0: p < 0 .7; H1: p = 0.7 H0: p = 0.7; H1: p ≠ 0.7 (b) What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal,…
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 36 arrests last month, 22 were of males aged 15 to 34 years. Use a 5% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0 .7; H1: p = 0.7H0: p = 0 .7; H1: p < 0.7 H0: p = 0.7; H1: p > 0.7H0: p ≠ 0.7; H1: p = 0.7H0: p = 0.7; H1: p ≠ 0.7 (b) What sampling distribution will you use? The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5…

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