Question
Suppose an educational researcher analyzes graduation data for the senior classes of two high schools. The data are summarized in the following cross-classification table. Table
Suppose an educational researcher analyzes graduation data for the senior classes of two high schools. The data are summarized in the following cross-classification table.Table 1
Graduated | |||
---|---|---|---|
School | Yes | No | Total |
A | 810 | 492 | 1,302 |
B | 185 | 53 | 238 |
Total | 995 | 545 | 1,540 |
The graduation rate of ______________for School A islower than the graduation rate of_____ for School B.
The researcher decides to take a closer look at the characteristics of the classes from each of the two schools. She obtains data on the income status of the students' families and classifies the students according to whether they came from a low-income family or a middle- or high-income family. The additional data are summarized in the following two cross-classification tables.Table 2: School A
Graduated | |||
---|---|---|---|
Income | Yes | No | Total |
Middle- or high-income | 320 | 31 | 351 |
Low-income | 490 | 461 | 951 |
Total | 810 | 492 | 1,302 |
Table 3: School B
Graduated | |||
---|---|---|---|
Income | Yes | No | Total |
Middle- or high-income | 162 | 28 | 190 |
Low-income | 23 | 25 | 48 |
Total | 185 | 53 | 238 |
Among students coming from middle- or high-income families, the graduation rate of _____________ for School A is ________ than the graduation rate of ______________ for School B. Among students coming from low-income families, the graduation rate of _______________ for School A is ______________ than the graduation rate of ________________ for School B.
Your conclusions from comparing the schools' graduation rates based on the collected data in Table 1 are _________ your conclusions from comparing the schools' graduation rates based on the unaggregated data in Tables 2 and 3.
The researcher notices that in both schools, students from middle- or high-income families have a____________ likelihood of graduating than students from low-income families. School A has a ___________ overall graduation rate because its senior class has a lower proportion of students from _____________ families.
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