/sci/ - Science & Math

Hey /sci/ I need a little help with some hypothesis test that myself and a teacher of mine at uni disagree at. So here it goes:

A school director wants to start classes at saturday, but he will only do so if 80% of the students are willing to attend. With a degree of confidence of 95%, should the director start the classes at saturday?

Students that said they will attend: 288 of 400 (wich will make 0.72)

So I said that the director shouldn't start them because:

H0: p<=0.8 (The data indicates that there won't be enough students)
H1: p>0.8 (The data indicates that at least 80% of students will attend)

Since the outcome will be negative (0.72-0.8=-0.08) there is no chance the result can be positive, so H0 is accepted.

While she did the following:

H0: p=>0.8 (Students will attend the class)
H1: p < 0.8 (Students will not attend the class)

And in this one, H0 is also passed. But this last test only demonstrates that there isn't 95% of certainty that less than 80% will attend the class right? Am I going nuts?

Pic not related but nice wallpaper.

>>6974203
Thank you for your informative and logical reply.
I've decided to start with basic trig, algebra and calculus - studying them thoroughly before reviewing my further studies.

In other terms, the exact reply you posted.

Blessing, merry Christmas and Happy New Year!