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Name: A recent study at a local college claimed that the proportion, p , of
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Description: A recent study at a local college claimed that the proportion, p , of students who commute more than fifteen miles to school is no more than15% . If a random sample of 255 students at this college is selected, and it is found that 44 commute more tha

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 fifteen miles to school is no more than15% . If a random sample of 255 students at this college is selected, and it is found that 44 commute more than fifteen miles to school, can we reject the college's claim at the 0.05

level of significance?

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.

(a)	State the null hypothesis H0? and the alternative hypothesis H1? .
H0:?
H1:?
(b)	Determine the type of test statistic to use.
	▼(Choose one) chi sqaure ? z? t ? f?
(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 15% ? yes or no?
Yes No

Expert Solution

Given

sample proportion = 44/255 = 0.1725

n = 255

population proportion = 0.15

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