A High School Offers These Statistics: 27% of Incoming Students

question 71

Multiple Choice

A high school offers these statistics: 27% of incoming students come from single-parent homes.
45% of incoming students come from single-parent homes eventually go on to get a college education.
59% of incoming students from two-parent homes eventually go on to get a college education.
Is there any evidence that an incoming student's chances to eventually get a college education depend on whether they come from a single parent or two parent home? Explain.

• A)No,the probability of going on to get a college education does not depend on whether the student comes from a single-parent or a two-parent home.
• B)Yes, P(single-parent home and college education)= (0.27)∙ (0.45);
• P(two-parent home and college education)= (0.73)∙ (0.59).
• These are not equal.
• C)Yes,the probability of going on to get a college education depends on whether the student comes from a single-parent or two-parent home. For students from single-parent homes,45% go on to get a college education.
• For students from two-parent homes,59% go on to get a college education.
• D)No,because P(single-parent home and college education)= P(single-parent home)∙ P(college education).
• E)No,it is possible for both things to happen. P(single-parent home and college education)= (0.27)∙ (0.45).This is greater than zero.

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Definitions:

Patterns of Activity

Recurring behaviors or actions undertaken by individuals or groups in specific contexts.

Power Bases

The sources of influence and authority an individual or organization possesses.

Self-interested Politics

Actions within an organization where individuals or groups prioritize their own interests over the collective good.

Ambiguous Outcomes

Results or effects of actions that are not clearly defined or can be interpreted in multiple ways.