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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 255 students at this college is selected, and it is found that 45 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.) (a) State the null hypothesis H and the alternative hypothesis H,. H. : µ2 0.20 合 Η : μ<0.20 (b) Determine the type of test statistic to use. Degrees of freedom: 43 O=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) -0.939 (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%? OYes ONo

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 255 students at this college is selected, and it is found that 45 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.) (a) State the null hypothesis H and the alternative hypothesis H,. H. : µ2 0.20 合 Η : μ<0.20 (b) Determine the type of test statistic to use. Degrees of freedom: 43 O=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) -0.939 (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%? OYes ONo

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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Question #13 please find (d), (e) and degrees of freedom if it is wrong :)
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 255 students at this college is selected, and it is found that 45 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.) (a) State the null hypothesis H. and the alternative hypothesis H,. H, : µ2 0.20 H, : µ < 0.20 (b) Determine the type of test statistic to use. O=0 OSO D20 Degrees of freedom: 43 (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O -0.939 (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%? OYes ONo 日 Ix
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 255 students at this college is selected, and it is found that 45 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.) (a) State the null hypothesis H. and the alternative hypothesis H,. H, : µ2 0.20 H, : µ < 0.20 (b) Determine the type of test statistic to use. O=0 OSO D20 Degrees of freedom: 43 (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O -0.939 (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%? OYes ONo 日 Ix
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