Construct and Interpret Confidence Intervals for the Difference Between Two $98 \%$

question 7

Multiple Choice

Construct and Interpret Confidence Intervals for the Difference between Two Population Proportions
-A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a financial problem. A second sample of 100 different students was asked the same question regarding a dating problem. 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:

Recklessness

The act or state of demonstrating a lack of regard for the danger or consequences of one's actions, differentiating from mere carelessness by the conscious decision to disregard safety.

Substantial Risk

A significant chance or danger of damage, harm, or adverse effects.

Felony

As a general rule, all crimes punishable by death or by imprisonment in a state prison.

Misdemeanor

Any crime that is punishable neither by death nor by imprisonment in a state prison.