Researchers were interested in the relationship between the type of prison the inmate is attending (High, Medium, Minimum) and the prison history of their parents (Both, None, One). Below is the two-way table of the observed data. 23. Within those with both parents in prison, what proportion are in high security prisons? (report to 3 decimal places) 15 / 49 = 0.306 24.If there was no relationship between the type of prison and the prison history of their parents, what number of inmates with both parents in prison would be in high security prisons? (report to one decimal place) Expected counts = (row total)(col total)/total = 12.3 25. If there was no relationship between the type of prison and the prison history of their parents: Within those with both parents in prison, what proportion are in high security prisons? (report to 3 decimal places) 12.3/49 = 0.251 26. The researchers are interested in testing the relationship between prison history of the parents and the type of prison an inmate is attending. What are the appropriate null and alternative hypotheses to test this relationship? H0: There is no relationship Ha: There is a relationship 27. What are the degrees of freedom? df = (r-1)(c-1) = (3 – 1)(3 – 1) = 4 28. If the P-value is greater than 0.25, is there evidence of a relationship between the prison history of the parents and the type of prison an inmate is attending? No. Fail to reject H0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 52E

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Question

Researchers were interested in the relationship between the type of prison the inmate is attending (High, Medium, Minimum) and the prison history of their parents (Both, None, One). Below is the two-way table of the observed data.

23. Within those with both parents in prison, what proportion are in high security prisons? (report to 3 decimal places) 15 / 49 = 0.306

24.If there was no relationship between the type of prison and the prison history of their parents, what number of inmates with both parents in prison would be in high security prisons? (report to one decimal place)

Expected counts = (row total)(col total)/total = 12.3

25. If there was no relationship between the type of prison and the prison history of their parents: Within those with both parents in prison, what proportion are in high security prisons? (report to 3 decimal places)

12.3/49 = 0.251

26. The researchers are interested in testing the relationship between prison history of the parents and the type of prison an inmate is attending.

What are the appropriate null and alternative hypotheses to test this relationship?

H0: There is no relationship

Ha: There is a relationship

27. What are the degrees of freedom?

df = (r-1)(c-1) = (3 – 1)(3 – 1) = 4

28. If the P-value is greater than 0.25, is there evidence of a relationship between the prison history of the parents and the type of prison an inmate is attending?

No.

Fail to reject H0