Single Proportion and Hypothesis Testing of Equality of two Means.

"1. National figures reveal that the probability of a youth offender on probation committing another crime is 0.80.  (This is called “recidivism.”) After a special government program intended to reduce recidivism is put in place, a sample of 100 young offenders enrolled in the program reveals that 70 subsequently committed another crime. You are asked to make a judgment about whether the government funds invested in this program have succeeded in reducing crime.
a. State the null and alternative hypotheses.
b. Compute the value of the test statistic.
c. Taking alpha=.01, conduct a hypothesis test using the p-value method.
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