Write the Word or Phrase That Best Completes Each Statement $- 0.0034 < \mathrm { p } 1 - \mathrm { p } 2 < 0.0566$

question 141

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
Use the traditional method to test the given hypothesis. 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) \(- 0.0034 < \mathrm { p } 1 - \mathrm { p } 2 < 0.0566\)
• B) \(0.0247 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.0286\)
• C) \(- 0.0177 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.1243\)
• D) \(- 0.0443 < \mathrm { p } 1 - \mathrm { p } _ { 2 } < 0.0976\)

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Definitions:

Batting Average

A key statistical measure in baseball that represents the ratio of a batter's hits to their at-bats.

Success

The achievement of a goal or objective, often measured by specific criteria or standards in various contexts.

Multiple Correlation

A statistical technique that measures the strength of the relationship between one dependent variable and two or more independent variables.

Independent Variables

are the factors in an experiment that are deliberately manipulated or varied by the researcher to examine their effect on dependent variables.