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Select appropiate null hypothesis to test if the observed cell counts follow the specificed distribution then test the hypothesis under a 5% significance level.

Select appropiate null hypothesis to test if the observed cell counts follow the specificed distribution then test the hypothesis under a 5% significance level.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
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Using photo attached, select appropiate null hypothesis to test if the observed cell counts follow the specificed distribution then test the hypothesis under a 5% significance level. Show work please.

There is a wonderful study conducted in 1898 by von Bortkiewicz which provides data on the death of soldiers in the Prussian army from kicks by horses and mules. The data pertain to 10 army corps, each observed over 20 years, for a total of 200 corps-years. The following table summarizes the observed data: note that in 109 corps-years zero deaths occurred; 65 corps-years had one death, etc.: Deaths 0 4 Occurrences 109 1 65 b. 22 3 3 Total 200 Von Bortkiewicz felt that a distribution known as the Poisson distribution would describe these data well. Using that distribution, he produced the following probabilities: Deaths 0 k 3 Probabilities 0.543 0.331 0.101 0.021 0.003 Total 0.999 Select appropiate null hypothesis to test if the observed cell counts follow the specificed distribution then test the hypothesis under a 5% significance level. Null Hypothesis Choices: 1. Ho: The variables Deaths and Probabilities are not associated. 2. Ho: p0 = 0.543; p1 = 0.331; p2 = 0.101; p3 = 0.021; p4 = 0.003 3. Ho: Not all the probabilities are as specified. 4. Ho: p0 p1=p2 = p3 =p4 = 0.20 5. Ho: p0 = 0.545; p1 = 0.325; p2 = 0.110; p3 = 0.015; p4 = 0.005
Transcribed Image Text:There is a wonderful study conducted in 1898 by von Bortkiewicz which provides data on the death of soldiers in the Prussian army from kicks by horses and mules. The data pertain to 10 army corps, each observed over 20 years, for a total of 200 corps-years. The following table summarizes the observed data: note that in 109 corps-years zero deaths occurred; 65 corps-years had one death, etc.: Deaths 0 4 Occurrences 109 1 65 b. 22 3 3 Total 200 Von Bortkiewicz felt that a distribution known as the Poisson distribution would describe these data well. Using that distribution, he produced the following probabilities: Deaths 0 k 3 Probabilities 0.543 0.331 0.101 0.021 0.003 Total 0.999 Select appropiate null hypothesis to test if the observed cell counts follow the specificed distribution then test the hypothesis under a 5% significance level. Null Hypothesis Choices: 1. Ho: The variables Deaths and Probabilities are not associated. 2. Ho: p0 = 0.543; p1 = 0.331; p2 = 0.101; p3 = 0.021; p4 = 0.003 3. Ho: Not all the probabilities are as specified. 4. Ho: p0 p1=p2 = p3 =p4 = 0.20 5. Ho: p0 = 0.545; p1 = 0.325; p2 = 0.110; p3 = 0.015; p4 = 0.005
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