# Confused with the wording Ho H1 claim

#### trumancollege

##### New Member
At a small college it was reported that no more then 20% of the students commute more then 10 miles. A random sample of 100 students showed that 24 students traveled more then 10 miles to college At a=0.01 can we conclude the college's claim is incorrect

I know the first step is to state the claim but I'm confused

My claim is Ho: x is equal to or less then 10
H1: x is greater then 10

I don't know if my claim is correct becuase of the no more then 20% pluse I don't know if to use the t-method or the p-value method.

confused:shakehead

#### yupeh

##### New Member
first represent x
let x be the number of students that commute more than 10 miles

then construct our hypothesis
Ho: x > 24, i.e. the number of students that commute more than 10 miles is greater than 24
Ha: x <= 24 , i.e. the number of students that commute more than 10 miles is less than or equal to 24

your alpha then is 0.01

use the corresponding test

hope this helps #### ssd

##### New Member
Let x be the number of students that commute more than 10 miles in the randomly selected group of 100 and
p= the prob that a randomly selected student commutes more than 10 miles.
X follows binomial(100,p)
You have to test
Ho : p=0.2
aginst
H1: p>0.2