Construct the Indicated Confidence Interval for the Difference Between Population $50 \%$

question 36

Multiple Choice

Construct the indicated confidence interval for the difference between population proportions p1 - p2. Assume that the samples are independent and that they have been randomly selected.
-In a random sample of 300 women, $50 \%$ favored stricter gun control legislation. In a random sample of 200 men, $26 \%$ favored stricter gun control legislation. Construct a $98 \%$ confidence interval for the difference between the population proportions $\mathrm { p } 1$ - $\mathrm { p } 2$ .

• A) \(0.157 < \mathrm { p } 1 - \mathrm { p } _ { 2 } < 0.323\)
• B) \(0.141 < \mathrm { p } 1 - \mathrm { p } 2 < 0.339\)
• C) \(0.131 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.349\)
• D) \(0.153 < p _ { 1 } - p _ { 2 } < 0.327\)

---

Definitions:

Form 1040

The standard IRS form that individuals use to file their annual income tax returns.

Household Workers

Individuals employed within a private home to perform domestic tasks, such as cleaning, cooking, and childcare.

Quarterly 941 Return

A quarterly tax form employers file to report federal withholdings and Social Security and Medicare taxes for employees.

Annual 940 Return

The Annual 940 Return is a federal tax form used by employers to report their annual Federal Unemployment Tax Act (FUTA) tax.