A college daims that the proportion, p, of students who commu sample of 255 students at this college is selected, and it is foun 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 (a) State the null hypothesis H, and the alternative hypothe H :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or mc (d) Find the p-value. (Round to three or more decimal places (e) Is there enough evidence to support the claim that the pr who commute more than fifteen miles to school is less tha O Yes ONo

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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 255 students at this college is selected, and it is found that 58 commute more than fifteen miles to school. Is there enough evidence to support the
college's claim at the 0.05 level of significance?
Español
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 Hn and the alternative hypothesis H,.
00
Ho :0
國
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(c) Find the value of the test statistic. (Roúnd to three or more decimal places.)
O<O
(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 25%?
O Yes ONo
미□
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 255 students at this college is selected, and it is found that 58 commute more than fifteen miles to school. Is there enough evidence to support the college's claim at the 0.05 level of significance? Español 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 Hn and the alternative hypothesis H,. 00 Ho :0 國 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Roúnd to three or more decimal places.) O<O (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 25%? O Yes ONo 미□
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