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:

Output

The result or data produced by a system or process, often sent to a display, storage device, or another system component.

Input Value

The data received by a system from external sources, often used as parameters for processes or as triggers for actions within the system.

Set-Point Value

A predetermined value at which a system aims to maintain a specific variable, such as temperature or pressure, in automation and control systems.