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:

Correlation

A statistical measure that indicates the extent to which two or more variables fluctuate together.

Survivor Bias

The analytical error of focusing on the surviving subjects of a study or process and overlooking those that did not survive due to lack of visibility.

Broad Sample

A wide-ranging or extensive group of people or items selected from a population, used for research or statistical analysis.

Survivor Bias

A logical error that involves focusing on the people or things that survived some process and inadvertently overlooking those that did not because of their lack of visibility.