cher war A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 15%. A this. A random sample of 255 students at this college is selected, and it is found that 24 commute more than fifteen miles to school. Is there enough evidence to support 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :D H, :O (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.) 0 (d) Find the critical value. (Round to three or more decimal places.) 0 (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 ONO H Ix X D S O-O SO X Р D> 8 020 O=DOO

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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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 255 students at this college is selected, and it is found that 24 commute more than fifteen miles to school. Is there
enough evidence to support 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. (If necessary, consult a list of formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
Ho :D
H₁:0
(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.)
0
(d) Find the critical 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 ONO
H
|x
a
X
S
2
OSO
Р
<a
$
DO
020
000<0 O>O
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 255 students at this college is selected, and it is found that 24 commute more than fifteen miles to school. Is there enough evidence to support 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :D H₁:0 (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.) 0 (d) Find the critical 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 ONO H |x a X S 2 OSO Р <a $ DO 020 000<0 O>O
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