An administrator at a rural college claims that the proportion, p, of students who commute farther than fifteen miles to school is more than 25%. To test this, she selects a random sample of 275 students at this college, and she finds that 86 commute farther than fifteen miles to school, Is there enough evidence to support the administrator'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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H. Ho :0 合 H :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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
Problem 8CR
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Espa
An administrator at a rural college claims that the proportion, p, of students who commute farther than fifteen miles to school is more than 25%. To test this,
she selects a random sample of 275 students at this college, and she finds that 86 commute farther than fifteen miles to school, Is there enough evidence to
support the administrator'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. (If necessary, consult a list of
formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H,.
0.
Ho
H, :)
(b) Determine the type of test statistic to use.
O=D0
ロSロ
(Choose one) V
(c)
Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the critical value. (Round to three or more decimal places.)
(e) Can we support the claim that the proportion of students who commute
farther than fifteen miles to school is more than 25%?
O Yes ONo
Transcribed Image Text:Espa An administrator at a rural college claims that the proportion, p, of students who commute farther than fifteen miles to school is more than 25%. To test this, she selects a random sample of 275 students at this college, and she finds that 86 commute farther than fifteen miles to school, Is there enough evidence to support the administrator'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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H,. 0. Ho H, :) (b) Determine the type of test statistic to use. O=D0 ロSロ (Choose one) V (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the claim that the proportion of students who commute farther than fifteen miles to school is more than 25%? O Yes ONo
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