Your statistics instructor claims that 60 percent of the stu

Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can\'t quite figure out, most people don\'t believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 34 feel more enriched as a result of her class. Now, what do you think?

Solution

Null, H0:P=0.6
Alternate, H1: P!=0.6
Test Statistic
No. Of Success chances Observed (x)=4
Number of objects in a sample provided(n)=64
No. Of Success Rate ( P )= x/n = 0.0625
Success Probability ( Po )=0.6
Failure Probability ( Qo) = 0.4
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.0625-0.6/(Sqrt(0.24)/64)
Zo =-8.7773
| Zo | =8.7773
Critical Value
The Value of |Z | at LOS 0.05% is 1.96
We got |Zo| =8.777 & | Z | =1.96
Make Decision
Hence Value of | Zo | > | Z | and Here we Reject Ho
We don\'t believe that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched