Due to pollution 25 percent of the people in a country suffer from a lung related desease and10 percent have another desease. For simplicity we assume that there are no people having boththis lung related desease and another desease. It is known that 50 percent of the people infectedby this lung related desease needs to be hospitalized in a hospital. From historical data it is alsoknown that 6 percent of the population needs to be hospitalized in a hospital due to other deseasesthen this lung related deseaseCompute the probability that a person needs to be hospitalized and the condi-tional probability that a person suffer from this lung related desease given that this person ishospitalized.The authorities do not know how many people in the country are suffering fromthis lung related desease and so the above 25 percent is not based on reality. To get anestimation of this percentage all the people in the country need to do some test to detect thislung related desease. The type I error of this test given by P(test is negative|person has thelung related desease ) = 0.4 and the type II error given by P(test is positive |person hasnot this lung related desease) equals 0.3 Of the population taking the test 40 percent testedpositive. Observe if the test is positive this means that according to the test the person hasthis lung related desease. Give an estimate of the fraction of the population having this lungrelated desease.In total the total population of the country is 100.000. Give an estimate of thenumber of beds necessary in the hospital using the updated estimate derived in part 2.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A series of surveys in GARISSA, carried out from 1990 to 1998, asked random samples of men and women aged 75 to estimate whether or not they would survive to the age of 85. Ten years after each survey the actual numbers surviving in each cohort were determined. All the sample sizes were large. The table summarizes the data. Men Women Year of survey Percentage estimating they would survive to age 85 Percentage actually surviving to age 85 Percentage estimating they would survive to age 85 Percentage actually surviving to age 85 1990 39.6 27.0 45.9 44.2 1992 38.9 27.8 43.1 46.6 1994 41.3 29.4 46.5 45.1 1996 39.2 30.2 46.2 45.2 1998 39.8 33.2 48.6 47.4 i). Describe what the data show about actual survival rates for men and women over time. ii). Describe what the data show about estimated survival rates for men and women over time. Compare the abilities of men and women to estimate their survival…
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Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In particular, the Centers of Disease Control and Prevention have launched studies of drug-resistant gonorrhea.† Suppose that, of 205 cases tested in a certain state, 13 were found to be drug-resistant. Suppose also that, of 375 cases tested in another state, 7 were found to be drug-resistant. Do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? Use a 0.02 level of significance. (Let p1 = the population proportion of drug-resistant cases in the first state, and let p2 = the population proportion of drug resistant cases in the second state.) State the null and alternative hypotheses. (Enter != for ≠ as needed.) A. H0: Ha: B. a) Find the value of the test statistic. (Round your answer to two decimal places.) b) What is the p-value? (Round your answer to four decimal…
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