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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 265 students at this college is selected, and it is found that 36 commute more than fifteen miles to school. Is there enough evidence to support the college's claim at the 0.10 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.) (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 less than 15%? OYes O No μ |x X D S S 0=0 OSO ロチロ ロ<ロ p

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 265 students at this college is selected, and it is found that 36 commute more than fifteen miles to school. Is there enough evidence to support the college's claim at the 0.10 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.) (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 less than 15%? OYes O No μ |x X D S S 0=0 OSO ロチロ ロ<ロ p

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
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**Hypothesis Testing for Proportion of Student Commuters** 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 using statistical methods. **Sample Data:** - A random sample of 265 students is selected. - Out of these, 36 students commute more than fifteen miles to school. **Objective:** To determine if there is enough evidence to support the college's claim at the 0.10 level of significance. **Instructions for Conducting One-Tailed Test:** 1. **Calculations:** - Carry your intermediate computations to three or more decimal places. - Refer to a list of statistical formulas if necessary. 2. **Tasks to Complete:** (d) **Find the p-value** - Round the p-value to three or more decimal places. (e) **Decision Making** - Determine whether there is enough evidence to support the claim that the proportion of students who commute more than fifteen miles to school is less than 15%. **Options:** - Yes - No **Diagram Explanation:** The diagram to the right consists of statistical symbols (such as \(\mu\), \(\sigma\), \(P\), etc.) often used in hypothesis testing. A key is provided for reference.
Transcribed Image Text:**Hypothesis Testing for Proportion of Student Commuters** 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 using statistical methods. **Sample Data:** - A random sample of 265 students is selected. - Out of these, 36 students commute more than fifteen miles to school. **Objective:** To determine if there is enough evidence to support the college's claim at the 0.10 level of significance. **Instructions for Conducting One-Tailed Test:** 1. **Calculations:** - Carry your intermediate computations to three or more decimal places. - Refer to a list of statistical formulas if necessary. 2. **Tasks to Complete:** (d) **Find the p-value** - Round the p-value to three or more decimal places. (e) **Decision Making** - Determine whether there is enough evidence to support the claim that the proportion of students who commute more than fifteen miles to school is less than 15%. **Options:** - Yes - No **Diagram Explanation:** The diagram to the right consists of statistical symbols (such as \(\mu\), \(\sigma\), \(P\), etc.) often used in hypothesis testing. A key is provided for reference.
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claim : p<0.15n = 265x = 36α = 0.10

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