The percentage of high school graduates applying to multiple colleges has been increasing over the past several years. According to an association in a certain region, 41% of high school students applied to six or more colleges in 2015. A random sample of 374 high school graduates in 2018 was selected and 157 of them applied to six or more colleges. Complete parts a through c. a. Construct a 90% confidence interval to estimate the actual proportion of high school graduates that applied to six or more colleges in 2018. The confidence interval 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? The margin of error is (Round to three decimal places as needed.) c. Is there evidence that this proportion has changed since 2015 based on this sample? This sample evidence that this proportion has changed since 2015, since the

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The percentage of high school graduates applying to multiple colleges has been increasing over the past several years. According to an association in a
certain region, 41% of high school students applied to six or more colleges in 2015. A random sample of 374 high school graduates in 2018 was selected and
157 of them applied to six or more colleges. Complete parts a through c.
a. Construct a 90% confidence interval to estimate the actual proportion of high school graduates that applied to six or more colleges in 2018.
The confidence interval 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?
The margin of error is
(Round to three decimal places as needed.)
c. Is there evidence that this proportion has changed since 2015 based on this sample?
This sample
evidence that this proportion has changed since 2015, since the
Transcribed Image Text:The percentage of high school graduates applying to multiple colleges has been increasing over the past several years. According to an association in a certain region, 41% of high school students applied to six or more colleges in 2015. A random sample of 374 high school graduates in 2018 was selected and 157 of them applied to six or more colleges. Complete parts a through c. a. Construct a 90% confidence interval to estimate the actual proportion of high school graduates that applied to six or more colleges in 2018. The confidence interval 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? The margin of error is (Round to three decimal places as needed.) c. Is there evidence that this proportion has changed since 2015 based on this sample? This sample evidence that this proportion has changed since 2015, since the
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