Question

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

Answer 1

D) the standard error for her sample is 15

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
`(0.1)/(1.96)` does not equal to 15.