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

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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

Both
None
One
Total
High
15
61
50
126
Medium
22
125
108
255
Minimum
12
47
60
119
Total
49
233
218
500
Transcribed Image Text:Both None One Total High 15 61 50 126 Medium 22 125 108 255 Minimum 12 47 60 119 Total 49 233 218 500
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