A Researcher Wants to Estimate the Proportion of the Manufacturing

Multiple Choice

A researcher wants to estimate the proportion of the 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 these proportions,which one would produce the narrowest 95% confidence interval for the population proportion?

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