A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 20%. A researcher wants to test this. A random sample of 275 students at this college is selected, and it is found that 51 commute more than fifteen miles to school. Is there enough evidence to support the college's claim at the 0.01 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. 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 more decimal places.) 0 (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 20%? O Yes O No H |x X a S 0° 0 X =O OSO □<口 P ô 믐 20 >O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
icon
Related questions
Question

help me please

A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 20%. A
researcher wants to test this. A random sample of 275 students at this college is selected, and it is found that 51 commute
more than fifteen miles to school. Is there enough evidence to support the college's claim at the 0.01 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.
H:0
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 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 20%?
O Yes O No
3
|x
7
0=0
X
a
S
O<O
p
5 3
Ś
<Q
20 8 ED
B
8
Transcribed Image Text:A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 20%. A researcher wants to test this. A random sample of 275 students at this college is selected, and it is found that 51 commute more than fifteen miles to school. Is there enough evidence to support the college's claim at the 0.01 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. H:0 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 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 20%? O Yes O No 3 |x 7 0=0 X a S O<O p 5 3 Ś <Q 20 8 ED B 8
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,