A Researcher Wants to Estimate the Proportion of Manufacturing Companies

question 62

Multiple Choice

A researcher wants to estimate the proportion of manufacturing companies that use the six sigma method.For this purpose, she will take a random sample of 50 manufacturing companies and find out how many of them use this method.She estimates that the proportion will be anywhere from 0.4 to 0.55.Of all the proportions in that range, which one would produce the widest 95% confidence interval for the population proportion?

• A)0.4
• B)0.45
• C)0.5
• D)0.55
• E)0.6

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Definitions:

Standard Deviation

An index quantifying how much data values spread out or differ from each other.

Standard Deviation

An indicator of the degree of spread or variability within a dataset, showing how significantly the values deviate from the average.

Water Consumption

The amount of water ingested by living organisms, particularly humans, to maintain health and sustain life.

Standard Deviation

A metric that quantifies the spread or variability within a dataset, reflecting the extent to which the numbers differ from their mean.