The epidemiological, clinical, and bacteriological aspects of shigellosis were studied in a population of hospitalized children in northern Israel. Shigellosis invades epithelial cells of the colon and causes inflammation a severe cases of diarrhea and dysentery. Below is a table that lists the frequencies of two different species of Shigella: S. sonnei and S. Flexneri between hospitalized and non-hospitalized Jews and Arabs. a) Combine hospitalized and non-hospitalized children, what is the overall prevalence of:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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The epidemiological, clinical, and bacteriological aspects of shigellosis were studied in a population of hospitalized children in northern Israel. Shigellosis invades epithelial cells of the colon and causes inflammation a severe cases of diarrhea and dysentery.

Below is a table that lists the frequencies of two different species of Shigella: S. sonnei and S. Flexneri between hospitalized and non-hospitalized Jews and Arabs.

a) Combine hospitalized and non-hospitalized children, what is the overall prevalence of:

  1. sonnei among Jewish children: ____________________________
  2. sonnei among Arab children: ____________________________
  3. Flexneri among Jewish children: ____________________________
  4. Flexneri among Arab children: ____________________________

b) Calculate a 95% confidence interval for the population difference in prevalence of S. Flexneri between hospitalized Jewish children and hospitalized Arab children. Briefly interpret the confidence interval.

 

c) Conduct the appropriate hypothesis test to determine whether there is a difference in the population prevalence of S. Flexneri among hospitalized Jewish children compared to hospitalized Arab children.

H0: ________________________________

H1: ________________________________

Test Statistic:

Calculate the p-value:

Conclusion in context of the study:

Table II. Frequencies of S. sonnei and S. flexneri among hospitalized children and non-hospitalized patients, according to ethnic grouping
Hospitalized
Non-hospitalized
Population
Organism
children
(%)
patients
(%)
S. sonnei
S. flexneri
1,633/1,859
163/1,859
Jews
137/168
24/168
(81.5)
(87.8)
(8.8)
0.026
(2,027)
(14.3)
0.027
S. sonnei
S. lexneri
140/179
32/179
Arabs
56/94
30/94
(59.6)
(31.9)
(78.2)
(17.9)
0.002
(273)
0.013
Transcribed Image Text:Table II. Frequencies of S. sonnei and S. flexneri among hospitalized children and non-hospitalized patients, according to ethnic grouping Hospitalized Non-hospitalized Population Organism children (%) patients (%) S. sonnei S. flexneri 1,633/1,859 163/1,859 Jews 137/168 24/168 (81.5) (87.8) (8.8) 0.026 (2,027) (14.3) 0.027 S. sonnei S. lexneri 140/179 32/179 Arabs 56/94 30/94 (59.6) (31.9) (78.2) (17.9) 0.002 (273) 0.013
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