Let P₁ Represent the Population Proportion of U

question 21

Multiple Choice

Let p₁ represent the population proportion of U.S.Senate and Congress (House of Representatives) democrats who are in favor of a new modest tax on "junk food".Let p₂ represent the population proportion of U.S.Senate and Congress (House of Representative) republicans who are in favor of a new modest tax on "junk food".Out of the 265 democratic senators and congressman 106 of them are in favor of a "junk food" tax.Out of the 285 republican senators and congressman only 57 of them are in favor of a "junk food" tax.Find a 95 percent confidence interval for the difference between proportions l and 2.

• A)(0.197 0.203)
• B)(0.163 0.238)
• C)(0.108 0.292)
• D)(0.125 0.275)

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Definitions:

Random Sample

A subset of individuals chosen from a larger set where each individual has an equal chance of being selected.

Sampling Process

The method or procedure used to select a subset of individuals from a population to represent the whole.

Nonsampling Error

Refers to the errors that arise during data collection and processing, which are not related to the act of sampling itself, such as measurement errors, processing errors, and coverage errors.

Wording

The choice of words or phrases in a piece of writing or speech.