5. Cross-classification tables 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 810 492 1,302 B 185 53 238 Total 995 545 1,540 The graduation rate of for School A is v 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.
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feec98ffb-2ae1-4e4b-9ab5-83bd1e7887bf%2F6d87c3af-f27f-4abb-8446-df4405d8d7b9%2Fd8vbxb_processed.jpeg&w=3840&q=75)
![5. Cross-classification tables
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
185
53
238
Total
995
545
1,540
The graduation rate of
for School A is
v than the graduation rate of
v 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feec98ffb-2ae1-4e4b-9ab5-83bd1e7887bf%2F6d87c3af-f27f-4abb-8446-df4405d8d7b9%2Fpfeo2g_processed.jpeg&w=3840&q=75)
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