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 than 20%. If a random sample of 255 students at this college is selected, and it is found that 52 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. (If necessary, consult a list of formulas.)
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 than 20%. If a random sample of 255 students at this college is selected, and it is found that 52 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. (If necessary, consult a list of formulas.)
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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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 than 20%. If a random sample of 255 students at this college is selected, and it is found that 52 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. (If necessary, consult a list of formulas.)
| (a) | State the null hypothesis
H0?
H1?
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H0:?
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H1:?
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| (b) | Determine the type of test statistic to use. | |
| ▼(Choose one) chi sqaure? z? t? f? |
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| (c) | Find the value of the test statistic.? (Round to three or more decimal places.) | |
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| (d) | Find the critical value. ? (Round to three or more decimal places.) | |
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| (e) | Can we reject the claim that the proportion of students who commute more than fifteen miles to school is no more than
20%
? yes or no ? |
Expert Solution
Given
sample proportion = 52/255 = 0.2039
n = 255
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