Samantha reports that 60% of the first year students at her university think they should be able to bring a car to campus. She a

Question

3 years ago

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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 a

lso 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

Mathematics

1 answer:

Nostrana [21] · Answer 1 · 2022-05-02T05:09:10+03:00

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 $\frac{0.1}{1.96}$ does not equal to 15.