A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 25%. A researcher wants to test this. Arandom sample of 255 students at this college is selected, and it is found that 58 commute more than fifteen miles to school. Is there enough evidence tosupport the college's claim at the 0.01 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.HoH₁ :(b) Determine the type of test statistic to use.(Choose one) ▼(c) Find the value of the test statistic. (Round to three more decimal places.)(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 studentswho commute more than fifteen miles to school is less than 25%?O Yes O NoμX40=0EXOSOSO<SРô20>

Given that p = 25% = 0.25 , X = 58 , n = 255 Note: According to bartleby experts question answers…

Answered: A college claims that the proportion,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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