survey is planned to determine what proportion of high-school students in a metropolitan school system have regularly smoked marijuana. The school administrators would like to estimate the proportion with 99 % confidence and a margin of error of no more than 4.5%.

MATLAB: An Introduction with Applications
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A survey is planned to determine what proportion of high-school students in a metropolitan school system have regularly smoked marijuana. The school administrators would like to estimate the proportion with 99 % confidence and a margin of error of no more than 4.5%. 

  • It was reported that 26.52% of high school students in a similar metropolitan area regularly smoke marijuana. If this estimate is used, what sample size would be required? n =
  • If the administrators choose not to use the estimate from the similar metropolitan area, what sample size would be required? n =
  • If the level of confidence were decreased to 96 %, what would happen to the required sample size?
    • The sample size would not be affected.
    • A smaller sample size would be required.
    • A larger sample size would be required.
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