In a Certain Population, 10% of People Are Left Handed

question 142

Essay

In a certain population, 10% of people are left handed. Suppose that in calculating each of the probabilities below, you use the normal distribution as an approximation to the binomial but that you fail to use a continuity correction. In which case will the resulting error be the greatest? In which case will the error be the least? Explain your thinking. A: the probability that among 50 randomly selected people, at least 5 are left handed B: the probability that among 100 randomly selected people, more than 10 are left handed C: the probability that among 200 randomly selected people, at most 20 are left handed

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Definitions:

Fire Signs

In astrology, the three fire signs are Aries, Leo, and Sagittarius, which are said to represent enthusiasm, courage, and passion.

Representative Sample

A sample taken so that findings from members of the sample group can be generalized to the larger population; also referred to as a stratified sample.

Sociological Research

The systematic study of human societies, social behaviors, and structures, aiming to understand social systems, institutions, and interactions.

Systematic

Characterized by a methodical plan or procedure that is intentionally structured to achieve specific outcomes.