need help with #20 & #21 please! this is due tonight and i'm really confused so i need help asap.note- i don't know if the last option for #21 got cut off or not (it shows it cut half of it off on my screen) so option E for that is "Unable to determine without knowing it's value"Thank You!

Use the following to answer questions 19-21: 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 1 2 3 4 Total Occurrences 109 65 22 3 1 200 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 2 3 4 Total Probabilities 0.543 0.331 0.101 0.021 0.003 0.999 19. What is the appropriate null hypothesis to test if the observed cell counts follow the specified distribution? A) Ho: The variables Deaths and Probabilities are not associated. B) Ho: po = 0.545; p1 = 0.325; p2 = 0.110; p3 = 0.015; p4 = 0.005 C) Ho: Not all the probabilities are as specified. D) Ho: p0 = p1 = p2 = p3 = p4 = 0.20 E) Ho: po = 0.543; p1 = 0.331; p2 = 0.101; p3 = 0.021; p4 = 0.003 20. Under the appropriate null hypothesis, what is the expected number of corps-years in which one death occurred due to horse or mule kicks? A) 66.3 B) 65.0 C) 33.1 D) 40 E) None of the above. 21. Under the appropriate null hypothesis, what is the distribution of the test statistic? A) X" with 5 degrees of freedom B) X" with 1 degree of freedom C) X" with 3 degrees of freedom D) X" with 4 degrees of freedom E) Unable to determine without knowing its value