Thread: Hypothesis testing

The controller of examination of certain university claimed that at least 60% of the students have passed in the university.An examination is conducted to a random sample of 200 students and it is found that 140 students were passed in the examination.Test whether the controller is valid or not at 5% level of significance.

=.6" alt="H_0=.6" /> vs. >.6" alt="H_a>.6" />.

You can also use \le .6" alt="H_0\le .6" />.

You approximate via the CLT with a normal, most people ignore the here.

The rejection region is and the test stat is

(I only used capitals so you could read this.)

If the null hypothesis is p=0.6
What should be the alternative hypothesis?

Originally Posted by roshanhero

If the null hypothesis is p=0.6
What should be the alternative hypothesis?

I typed it right above, p>.6 in either case.
This is what you want to prove.

But, for the controller to be proved invalid,can't we use in alternative hypothesis,p<0.6

I am trying to prove this claim...
controller of examination of certain university claimed that at least 60%

AND the statement....the controller is valid.... ISN'T clear at all
It should say... the controller CLAIM is valid ....

IN any case if you want to 'prove' that p<.6, well a sample estimate certainly won't have you concluding that p is less than .6

Will it be a one tail test or a two tail test.

I already gave you my opinion.