A recent study at a local college claimed that the porportion, p, of students  who commute more than 15 miles to school  is no more than 15% . If a random  sample of 175 students  at this college  is selected,  and it is found that 86 commute more than 15 miles to school, can we reject the college's claim at the 0.05 level of significance.  Perform 1 failed test then fill in the table below

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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I need help asap. This is the question.  A recent study at a local college claimed that the porportion, p, of students  who commute more than 15 miles to school  is no more than 15% . If a random  sample of 175 students  at this college  is selected,  and it is found that 86 commute more than 15 miles to school, can we reject the college's claim at the 0.05 level of significance.  Perform 1 failed test then fill in the table below 

Expert Solution
Step 1

Denote p as the true proportion of the students  who commute more than 15 miles to school.

The null and alternative hypotheses are:

Null hypothesis:

H0: p ≤ 0.15.

That is, true proportion of the students  who commute more than 15 miles to school is less than or equal to 0.15.

Alternative hypothesis:

H1: p > 0.15.

That is, true proportion of the students  who commute more than 15 miles to school is greater than 0.15.

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