4 . A men's health magazine would like to conduct a survey using a simple random sample of 900 men who practice yoga . One of the goals of the survey is to create a confidence interval to estimate the proportion of all men practicing yoga who report low stress levels . Since the intended survey method requires face - to- face interaction , some of the magazine executives are concerned about the cost of the survey and suggest sampling a smaller group of 100 men instead of 900 men . Assuming the sample proportion doesn't change , which of the following best describes the anticipated effect on the width of the confidence interval if the magazine were to survey a random sample of 100 men who practice yoga , rather than 900 men ?! A ) The width of the interval based on 100 men would be about nine times the width of the interval based on 900 men . B ) The width of the interval based on 100 men would be about three times the width of the interval based on 900 men . C ) The width of the interval based on 100 men would be about the same width as the interval based on 900 men : D ) The width of the interval based on 100 men would be about one - third the width of the interval based on 900 men . E ) The width of the interval based on 100 men would be about one - ninth the width of the interval based on 900 men