A department of education reported that in 2007, 69% of students enrolled in col
ID: 3369894 • Letter: A
Question
A department of education reported that in 2007, 69% of students enrolled in college or a trade school within 12 months of graduating from high school. In 2013, a random sample of 160 individuals who graduated from high school 12 months prior was selected. From this sample, 102 students were found to be enrolled in college or a trade school.
a. Construct a 90?% confidence interval to estimate the actual proportion of students enrolled in college or a trade school within 12 months of graduating from high school in 2013.
A
9090?%
confidence interval to estimate the actual proportion has a lower limit of ______ and an upper limit of _____.
?(Round to three decimal places as? needed.)
b. What is the margin of error for this? sample?
c. Based on this? sample, is there any evidence that this proportion has changed since? 2007?
Because the confidence interval found in part a _______ the reported proportion from ?2007, this sample ________ evidence that this proportion has changed since then.
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald
90% confidence interval results:
Hence,
a) 90% confidence interval:
Lower limit = 0.575
Upper limit = 0.700
b) Margin of error = (0.7 - 0.575)/2 = 0.0625
c) Contains; do not provide
Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 102 160 0.6375 0.03800442 0.57498829 0.70001171Related Questions
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