ege claims that the proportion, p, of students who commute more than fifteen miles to school is less than 15%. A rcher wants to test this. A random sample of 265 students at this college is selected, and it is found that 36 hute more than fifteen miles to school. Is there enough evidence to support the college's claim at the 0.10 level of cance? rm a one-tailed test. Then complete the parts below. your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) a) State the null hypothesis Ho and the alternative hypothesis H₁. D) 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.) H X ローロ ロ O $ S OSO O

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

20

A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 15%. A
researcher wants to test this. A random sample of 265 students at this college is selected, and it is found that 36
commute more than fifteen miles to school. Is there enough evidence to support the college's claim at the 0.10 level of
significance?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H and the alternative hypothesis H₁.
H₂O
(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) Is there enough evidence to support the claim that the proportion of students
who commute more than fifteen miles to school is less than 15%?
OYes O No
μ
X
0
0=0
0
$
S
P
OSO 020
<
☐>
Transcribed Image Text:A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 15%. A researcher wants to test this. A random sample of 265 students at this college is selected, and it is found that 36 commute more than fifteen miles to school. Is there enough evidence to support the college's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H₂O (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) Is there enough evidence to support the claim that the proportion of students who commute more than fifteen miles to school is less than 15%? OYes O No μ X 0 0=0 0 $ S P OSO 020 < ☐>
Expert Solution
Step 1

Given that 

Sample size n =265

Favorable cases x =36

Sample proportion p^=x/n 

=36/265

=0.1358

 

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