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Samantha reports that 60% of the first year students at her university think they should be able to bring a car to campus. She also notes that she is 95% certain that between 50 and 70% of the first year students agree. Which of the following statements is FALSE?A) the range from 50-70% is a confidence intervalB) 95% refers to her confidence levelC) 60% is a statisticD) the standard error for her sample is 15

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Answer:

D) the standard error for her sample is 15

Step-by-step explanation:

Samantha is 95% certain that between 50% and 70% of the first year students agree that they should be able to bring a car to campus.

Here

  • 95% is the confidence level.
  • The range between 50% and 70% indicates 95% confidence interval.
  • 60% is the average proportion of the first year students at her university think they should be able to bring a car to campus.
  • 10% (0.1) is the margin of error from the mean

Since standard error can be obtained by dividing margin of error by the z-statistic of the confidence level which is 1.96. The standard error for her sample [tex]\frac{0.1}{1.96}[/tex] does not equal to 15.

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