Question

a countrys education department reported that in 2015, 68.9% of students enrolled in college or a trade school within 12 months of graduating high sc 2017, a random sample of 180 individuals who graduated from high school 12 months prior was selected. from this sample, 105 students were found enrolled in college or a trade school. complete parts a through c. a. construct a 95% confidence interval to estimate the actual proportion of students enrolled in college or a trade school within 12 months of graduati high school in 2017. the confidence interval has a lower limit of 0.510 and an upper limit of 0.656. (round to three decimal places as needed.) b. what is the margin of error for this sample? the margin of error is 0.073. (round to three decimal places as needed.) c. based on this sample, is there any evidence that this proportion has changed since 2015? this sample evidence that this proportion has changed since 2015, since the

Explanation:

Step1: Analyze the confidence interval

The confidence interval for part a is \(0.510\) to \(0.656\). The proportion in 2015 was \(0.689\).

Step2: Check if 2015 proportion is in the interval

We check if \(0.689\) lies within the interval \([0.510, 0.656]\). Since \(0.689>0.656\), it does not.

Answer:

This sample provides evidence that this proportion has changed since 2015, since the 2015 proportion (\(0.689\)) is not within the 2017 confidence interval (\(0.510\) to \(0.656\)).