got stucked with this hypothesis question. Help would be appreciated.

Study on 1280 questions on 10 real Scholastic Assessment Test (SATs).
Assume that all the questions had five choices(infact 150 of them had only four choices).
They found that for 192 of the questions, the correct choices(A,B,C,D or E) was as same 
as the correct choice for the question immediately preceding. If the choices were generated 
at random, then the probability that a question would have the same correct choice as 
the on immediately preceding would be 0.20. Can you conclude the choices for the SAT 
are not generated at random?

a) state null and alternate hypothesis.
b) compute the value of test statistic.
c) find the p value and state your conclusion.

I am not a student but did some probability at home and saw similar example.
As it has more than 30 need to do z test, but the question is how we going to get the standard deviation  or variance? Can you show how you tried it?
I was thinking it putting in SAS program, but still in learning process.

 thanks for the reply...
thats the all information in the question...
it is the last question of my HW and I couldn't
even start it...