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

question 99

Multiple Choice

Construct the indicated confidence interval for the difference between population proportions $p _ { 1 } - p _ { 2 }$ . Assume that the samples are independent and that they have been randomly selected.
- $\mathrm { x } _ { 1 } = 68 , \mathrm { n } _ { 1 } = 93$ and $\mathrm { x } _ { 2 } = 78 , \mathrm { n } _ { 2 } = 111 ;$ Construct a $98 \%$ confidence interval for the difference between population proportions $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$ .

• A) \(- 0.119 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.176\)
• B) \(0.584 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.879\)
• C) \(- 0.095 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.855\)
• D) \(0.607 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.855\)

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Definitions:

Ectasis

A medical term that describes the widening or enlargement of a hollow organ or structure.

Circum-

A prefix in English denoting around, about, or surrounding something.

Epi-

Refers to being above, over, or on top of something, often used as a prefix in medical and biological terms to denote a higher position or an outer layer.

Tachy-

A prefix meaning "fast" or "swift," used in medical terminology to denote an abnormally rapid state, such as in "tachycardia" for rapid heartbeat.