A recent study at a local college claimed that the proportion, p, of students who commute more than 15 miles to school is no more than 20%. If a random sample of 275 studentsat this college is selected, and it is found that 71 commute more than 15 miles to school, can we reject the colleges claim at the 0.1 level of significance? Perform a one tailed test, and complete the parts below. (a) State the null hypothesis H, and the alternative hypothesis H,.H.(b) Determine the type of test statistic to use.(Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the p-value. (Round to three or more decimal places.)(e) Can, we reject the claim that the proportion of students who commute morethan fifteen miles to school is no more than 20%?OYes ONo

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Description: A recent study at a local college claimed that the proportion, p, of students who commute more than 15 miles to school is no more than 20%. If a random sample of 275 studentsat this college is selected, and it is found that 71 commute more than 15 mi

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A recent study at a local college claimed that the proportion, p, of students who commute more than 15 miles to school is no more than 20%. If a random sample of 275 studentsat this college is selected, and it is found that 71 commute more than 15 miles to school, can we reject the colleges claim at the 0.1 level of significance?

Perform a one tailed test, and complete the parts below.

(a) State the null hypothesis H, and the alternative hypothesis H,.
H.
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can, we reject the claim that the proportion of students who commute more
than fifteen miles to school is no more than 20%?
OYes ONo

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