A social worker looks at data in her state regarding the relationship between being in foster care and having a criminal record by the age of 25. "Aging out' refers to when a youth turns 18 years old and is expected to move out of foster care and start their lives on their own. Fictional data fro 1350 youths is shown below. Answer the following questions in the space below, labeling each response a, b, or c. What percentage of youths overall were adopted before aging out, and had a criminal record? What percentage of youths were in foster care until they were aged out?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
6. A social worker looks at data in her state regarding the relationship between being in foster care and having a criminal record by the age of 25. "Aging out' refers to when a youth turns 18 years old and is expected to move out of foster care and start their lives on their own. Fictional data fro 1350 youths is shown below.
Answer the following questions in the space below, labeling each response a, b, or c.
- What percentage of youths overall were adopted before aging out, and had a criminal record?
- What percentage of youths were in foster care until they were aged out?
- True or False: If foster care status and having a crime record were independent of each other, and 55% overall had no crime record, you would expect 55% of those who aged out in foster care to have no crime record.
|
|
No crime record |
Crime record |
Total |
|
Foster care until ‘aged out’ |
445 |
450 |
895 |
|
Adopted before aging out |
300 |
155 |
455 |
|
Total |
745 |
605 |
1350 |
Given Information:
| No crime record | Crime record | Total | |
| Foster care until 'aged out' | 445 | 450 | 895 |
| Adopted before aging out | 300 | 155 | 455 |
| Total | 745 | 605 | 1350 |
(a) To find the percentage of youths overall were adopted before aging out, and had a criminal record:
Probability of an event is given by the formula:
Required probability is obtained as follows:
Thus, percentage of youths overall were adopted before aging out, and had a criminal record is 11.5%
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