What kind of probability distribution would you use to compa

What kind of probability distribution would you use to compare class attendance with the University\'s attendance? Lets say that University attendance is 65%. What kind of probabolity distribution model would be appropriate to determine how many students come to class? Please provide an example. (I do not have numerical values, any values will be fine)

Solution

We can use the normal approximation to the binomial here.

Say, in your class,57 out of 100 students in your class (this is a large class) attended.

So, if we wish to know if there is significant difference in the attendance of this class to the university in general, then:

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   =   0.65
Ha:   p   =/=   0.65

As we see, the hypothesized po =   0.65      

Getting the point estimate of p, p^,          
          
p^ = x / n =    0.57      
          
Getting the standard error of p^, sp,          
          
sp = sqrt[po (1 - po)/n] =    0.04769696      
          
Getting the z statistic,          
          
z = (p^ - po)/sp =    -1.677255739      
          
As this is a    2   tailed test, then, getting the p value,  
          
p =    0.093492484      

As P > 0.05, we   FAIL TO REJECT THE NULL HYPOTHESIS.  

Thus, there is no significant difference between the attendance rate of this class to the university in general at 0.05 level. [CONCLUSION]