An administrator at a rural college claims that the proportion, p, if students who commute father than fifteen miles to school is more than 15%. To test this, she selects a random sample of 250 students at this college, and she finds that 49 commute farther than fifteen miles to school, is there enough evidence to support the administrator’s claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry you intermediate computations to three or more decimal places and round your answers as specified in the table.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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An administrator at a rural college claims that the proportion, p, if students who commute father than fifteen miles to school is more than 15%. To test this, she selects a random sample of 250 students at this college, and she finds that 49 commute farther than fifteen miles to school, is there enough evidence to support the administrator’s claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry you intermediate computations to three or more decimal places and round your answers as specified in the table.
(a) State the null hypothesis H, and the alternative hypothesis H,.
H :0
H, :0
(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.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we support the claim that the proportion of students who commute
farther than fifteen miles to school is more than 15%?
O Yes O No
Transcribed Image Text:(a) State the null hypothesis H, and the alternative hypothesis H,. H :0 H, :0 (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.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the proportion of students who commute farther than fifteen miles to school is more than 15%? O Yes O No
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