A Sample of 100 Colored Balls Is Selected from a Large

question 7

Multiple Choice

A sample of 100 colored balls is selected from a large container of red balls and white balls-call it Container A.A second sample, this one of size 200, is selected from another container of red balls and white balls-call it Container B.The table below shows observed results from the two samples. You use a chi-square test to test the null hypothesis that the two containers contain the same proportion of red balls.In a table of "expected frequencies if the null hypothesis is true," what is the expected frequency that should be entered in the "Container A, Red Balls" cell?

• A)48
• B)96
• C)52
• D)104

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Definitions:

Determinant

A scalar value that can be computed from the elements of a square matrix and reflects the volume scaling factor of the linear transformation described by the matrix.

Equation

A mathematical statement that asserts the equality of two expressions, usually connected by an equals sign.

Line

A line is described as a shape with no thickness that goes on infinitely in two opposite directions and is one-dimensional.

Linear Inequalities

Mathematical expressions involving linear expressions in one or more variables where the expressions are not equal but related by less than (<), greater than (>), less than or equal to (≤), or greater than or equal to (≥).