Belinda plans to take a simple random sample of 2500 U.S. adults and to compute the proportion of them who believe in the theory of evolution. (Call this sample proportion p1-hat.) She also intends to take an independent simple random sample of 1600 adults from France and to compute the the proportion of them who believe in the theory of evolution. (Call this sample proportion p2-hat.) Unknown to Belinda, the proportion of all U.S. adults who believe in the theory of evolution is 0.50 (or 50%), whereas the proportion of all French adults who believe in the theory of evolution is 0.75, or 75%. Using the expected value and the SD of p1-hat minus p2-hat, which of the following makes the most sense? Group of answer choices ( ) The percentage of adults in the U.S. sample who believe in evolution should turn out to be about 25% less than the percentage of adults in the French sample who believe in evolution, give or take about 3% or so for chance error in the sampling process. ( ) The percentage of adults in the U.S. sample who believe in evolution should turn out to be about 1.5% less than the percentage of adults in the French sample who believe in evolution, give or take about 25% or so for chance error in the sampling process. ( ) The percentage of adults in the U.S. sample who believe in evolution should turn out to be about 25% more than the percentage of adults in the French sample who believe in evolution, give or take about 1.5% or so for chance error in the sampling process. ( ) The percentage of adults in the U.S. sample who believe in evolution should turn out to be about 25% less than the percentage of adults in the french sample who believe in evolution, give or take about 1.5% or so for chance error in the sampling process.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The Difference of Two Sample Proportions: III

Belinda plans to take a simple random sample of 2500 U.S. adults and to compute the proportion of them who believe in the theory of evolution. (Call this sample proportion p1-hat.)

She also intends to take an independent simple random sample of 1600 adults from France and to compute the the proportion of them who believe in the theory of evolution. (Call this sample proportion p2-hat.)

Unknown to Belinda, the proportion of all U.S. adults who believe in the theory of evolution is 0.50 (or 50%), whereas the proportion of all French adults who believe in the theory of evolution is 0.75, or 75%.

Using the expected value and the SD of p1-hat minus p2-hat, which of the following makes the most sense?

Group of answer choices

( ) The percentage of adults in the U.S. sample who believe in evolution should turn out to be about 25% less than the percentage of adults in the French sample who believe in evolution, give or take about 3% or so for chance error in the sampling process.

( ) The percentage of adults in the U.S. sample who believe in evolution should turn out to be about 1.5% less than the percentage of adults in the French sample who believe in evolution, give or take about 25% or so for chance error in the sampling process.

( ) The percentage of adults in the U.S. sample who believe in evolution should turn out to be about 25% more than the percentage of adults in the French sample who believe in evolution, give or take about 1.5% or so for chance error in the sampling process.

( ) The percentage of adults in the U.S. sample who believe in evolution should turn out to be about 25% less than the percentage of adults in the french sample who believe in evolution, give or take about 1.5% or so for chance error in the sampling process.

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