A Random Sample of 100 Students at a High School $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$

question 5

Multiple Choice

A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a homework assignment in science. A second random sample of 100 different students was asked the
Same question for an assignment in history. Forty-three students in the first sample and 47 students in the
Second sample replied that they turned to their mother rather than their father for help. Construct a 98%
Confidence interval for $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$

• A)(-0.204, 0.124)
• B)(-1.324, 1.521)
• C)(-0.591, 0.762)
• D)(-1.113, 1.311)

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Definitions:

Rational

Characterized by clear, logical thinking or decision-making, often based on facts and reasoning rather than emotion or impulse.

Agents

Individuals or entities that act to produce a particular effect or bring about change, often in the context of social, political, or economic processes.

Agency

The capacity of individuals or groups to act independently and make free choices, shaping their own lives and the structures around them.

Sexual Relations

Interactions between individuals involving sexual intimacy or activities.