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) \(- 0.0177 < p _ { 1 } - p _ { 2 } < 0.1243\)

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Definitions:

IQ

A measure of a person's intelligence, usually represented as a score derived from standardized tests.

Validity

The extent to which a test, measurement, or research accurately represents or measures what it is intended to.

Sex Differences

Variations in characteristics or behaviors between males and females, often influenced by biological, genetic, or cultural factors.

Mental Abilities

Refers to the various functions of the mind, including perception, memory, reasoning, and problem-solving.