Construct the Indicated Confidence Interval for the Difference Between Population $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$

question 30

Multiple Choice

Construct the indicated confidence interval for the difference between population proportions $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$ Assume that the samples are independent and that they have been randomly selected.
- $\mathrm { x } _ { 1 } = 37 , \mathrm { n } _ { 1 } = 74$ and $\mathrm { x } _ { 2 } = 50 , \mathrm { n } _ { 2 } = 87 ;$ Construct a $95 \%$ confidence interval for the difference between population proportions $\mathrm { p } _ { 1 } - \mathrm { P } _ { 2 }$ .

• A) \(0.317 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.683\)
• B) \(- 0.258 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.683\)
• C) \(- 0.229 < p _ { 1 } - p _ { 2 } < 0.079\)
• D) \(0.346 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.654\)

---

Definitions:

Aerobic Respiration

The process by which organisms use oxygen to turn food into energy, a crucial part of cellular metabolism.

ATP

Adenosine triphosphate, a molecule that carries energy within cells, being essential for a multitude of cellular functions.

Glucose

A fundamental sugar, vital for energy provision in living creatures and incorporated in a wide range of carbohydrate structures.

Patella

The kneecap; a small flat triangular bone located in front of the knee joint.