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cher war A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 15%. A this. A random sample of 255 students at this college is selected, and it is found that 24 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 Ho and the alternative hypothesis H₁. Ho :D H, :O (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 critical 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 15%? OYes ONO H Ix X D S O-O SO X Р D> 8 020 O=DOO

cher war A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 15%. A this. A random sample of 255 students at this college is selected, and it is found that 24 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 Ho and the alternative hypothesis H₁. Ho :D H, :O (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 critical 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 15%? OYes ONO H Ix X D S O-O SO X Р D> 8 020 O=DOO

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Hypothesis Testing for College Commute Distance** 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 claim. A random sample of 255 students at this college is selected, and it is found that 24 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 \(H_0\)](https://www.education.com/definition/null-hypothesis) and the [alternative hypothesis \(H_1\)](https://www.education.com/definition/alternative-hypothesis): \[ H_0: \] \[ H_1: \] (b) Determine the type of [test statistic](https://www.education.com/definition/test_statistic) to use. (Choose one) \[ \] (c) Find the value of the test statistic. (Round to three or more decimal places.) \[ \] (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%? (\☐ Yes \☐ No) --- **Explanation of Graphs and Diagrams:** *There are no graphs or diagrams present in this content.* ---
Transcribed Image Text:**Hypothesis Testing for College Commute Distance** 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 claim. A random sample of 255 students at this college is selected, and it is found that 24 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 \(H_0\)](https://www.education.com/definition/null-hypothesis) and the [alternative hypothesis \(H_1\)](https://www.education.com/definition/alternative-hypothesis): \[ H_0: \] \[ H_1: \] (b) Determine the type of [test statistic](https://www.education.com/definition/test_statistic) to use. (Choose one) \[ \] (c) Find the value of the test statistic. (Round to three or more decimal places.) \[ \] (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%? (\☐ Yes \☐ No) --- **Explanation of Graphs and Diagrams:** *There are no graphs or diagrams present in this content.* ---
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