A recent study at a local college claimed that the proportion, p , of students who commute more than fifteen miles to school is no more than15% . If a random sample of 255 students at this college is selected, and it is found that 44 commute more than fifteen miles to school, can we reject the college's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below.
A recent study at a local college claimed that the proportion, p , of students who commute more than fifteen miles to school is no more than15% . If a random sample of 255 students at this college is selected, and it is found that 44 commute more than fifteen miles to school, can we reject the college's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below.
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
Related questions
Topic Video
Question
A recent study at a local college claimed that the proportion, p , of students who commute more than fifteen miles to school is no more than15% . If a random sample of 255 students at this college is selected, and it is found that 44 commute more than fifteen miles to school, can we reject 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 and round your answers as specified in the table.
| (a) | State the null hypothesis
H0?
H1?
|
|
|
H0:?
|
||
|
H1:?
|
||
| (b) | Determine the type of test statistic to use. | |
| ▼(Choose one) chi sqaure ? z? t ? f? |
|
|
| (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.) | |
|
|
||
| (e) | Can we reject the claim that the proportion of students who commute more than fifteen miles to school is no more than
15%
? yes or no? |
|
|
Yes No
|
Expert Solution
Given
sample proportion = 44/255 = 0.1725
n = 255
population proportion = 0.15
Step by step
Solved in 2 steps with 5 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL