Construct the Indicated Confidence Interval for the Difference Between Population $- 0.0443 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.0976$

question 93

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.
-A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference between the two population proportions.

• A) \(- 0.0443 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.0976\)
• B) \(- 0.0034 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.0566\)
• C) \(0.0247 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.0286\)
• D) \(- 0.0177 < p _ { 1 } - p _ { 2 } < 0.1243\)

---

Definitions:

Corporations

Legal entities that can enter into contracts and own property. They are taxed at a lower rate than individuals and their owners are normally not liable for the corporation’s debt or any harm it may cause the public.

Consensus Crimes

Crimes that are universally condemned by society, such as murder or theft, and seen as inherently wrong.

Criminals

Persons who engage in activities that breach legal codes and are thus subject to judicial indictment and punishment; this definition reiterates their adversarial role against societal norms and laws.

Prison

An institution for the confinement and rehabilitation of individuals who have been convicted of crimes.