A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 25%. A researcher wants to test this. A random sample of 260 students at this college is selected, and it is found that 48 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 H, and the alternative hypothesis H₁. H₂:0 (b) Determine the type of test statistic to use. Choose o H |x a S P

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter4: Equations Of Linear Functions
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A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 25%. A researcher wants to test this. A random
sample of 260 students at this college is selected, and it is found that 48 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 H, 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.)
(d) Find the p-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 25%?
OYes O No
= K
O
S
ローロ OSO
X
Р
ô
2
ロマロ
00 0<0 O>O
S
(Español)
?
B
M
Transcribed Image Text:A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 25%. A researcher wants to test this. A random sample of 260 students at this college is selected, and it is found that 48 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 H, 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.) (d) Find the p-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 25%? OYes O No = K O S ローロ OSO X Р ô 2 ロマロ 00 0<0 O>O S (Español) ? B M
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