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 ample of 255 students at this college is selected, and it is found that 23 commute more than fifteen miles to school. Is there enough evidence to support the ollege's claim at the 0.05 level of significance? erform a one-tailed test. Then complete the parts below. arry 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 H,. H, :0 H :0 |(b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 e test statistic. (Round to three or more decimal places.) (c) |Chi-square O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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 23 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 H,.
H. :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) v
D=0
OSO
(c) Ft
Chi-square
e test statistic. (Round to three or more decimal places.)
O<O
(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%?
O Yes ONo
olo
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 23 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 H,. H. :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) v D=0 OSO (c) Ft Chi-square e test statistic. (Round to three or more decimal places.) O<O (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%? O Yes ONo olo
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 23 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 H,.
H, :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) v
D=0
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(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%?
O Yes O No
Ix
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 23 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 H,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) v D=0 (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (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%? O Yes O No Ix
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