It is assumed that the discrete random variable X follows a Poisson distribution. A sample of size n = 142.0 is distributed as ni classes 29.0 41.0 X=0 X=1 39.0 23.0 X=2 X=3 10.0 X≥4 where ni, i = 1,..., 5 is absolute frequency in the corresponding class. Use a x2 test on a significance level = 0.05 to decide whether X has distribution Poi(A) with a A estimated by the approximate sample mean. Calculate the test statistic and rejection region. (H: X~Poi(A), H₁: X Poi(A)) O test statistic: 1.36, rejection region: (9.39,00) O test statistic: 1.33, rejection region: (9.39,00) O test statistic: 1.33, rejection region: (9.49,00) O test statistic: 1.36, rejection region: (9.49,00)

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
icon
Related questions
Question

help please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all working

It is assumed that the discrete random variable X follows a Poisson distribution. A sample of size n = 142.0 is distributed as
ni
classes
29.0 41.0
X=0 X=1
39.0 23.0
X=2 X=3
10.0
X≥4
where ni, i = 1,..., 5 is absolute frequency in the corresponding class. Use a x2 test on a significance level = 0.05 to decide whether X has distribution Poi(A) with a A
estimated by the approximate sample mean. Calculate the test statistic and rejection region. (H: X~Poi(A), H₁: X Poi(A))
O test statistic: 1.36, rejection region: (9.39,00)
O test statistic: 1.33, rejection region: (9.39,00)
O test statistic: 1.33, rejection region: (9.49,00)
O test statistic: 1.36, rejection region: (9.49,00)
Transcribed Image Text:It is assumed that the discrete random variable X follows a Poisson distribution. A sample of size n = 142.0 is distributed as ni classes 29.0 41.0 X=0 X=1 39.0 23.0 X=2 X=3 10.0 X≥4 where ni, i = 1,..., 5 is absolute frequency in the corresponding class. Use a x2 test on a significance level = 0.05 to decide whether X has distribution Poi(A) with a A estimated by the approximate sample mean. Calculate the test statistic and rejection region. (H: X~Poi(A), H₁: X Poi(A)) O test statistic: 1.36, rejection region: (9.39,00) O test statistic: 1.33, rejection region: (9.39,00) O test statistic: 1.33, rejection region: (9.49,00) O test statistic: 1.36, rejection region: (9.49,00)
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,