# Homework Help: Statistics - Hypothesis testing question

1. Sep 9, 2011

### Nephilim

Hello folks. This was in my exam and I wasn't sure how to solve it.

1. The problem statement, all variables and given/known data
A sample of 67 respondents was taken collectively by a population of 6,456 units. The number of those who said they were available to implement a development program were 35. To implement the program requires the agreement of at least 60% of the population. With a significance level of 5% you can believe that this program will be implemented or is more likely to be rejected?

2. Relevant equations
Given this table:
http://imageshack.us/f/191/unled1lx.jpg/

3. The attempt at a solution
Should I find the p value here, since we have percentage? If so then we'd have the null hypothesis : p<0.6 and the alternative hypothesis : p>=0.6 and the rest is easy, finding the Z value and looking it up. But I have a problem identifying what type of test is needed.
Also, what differs if the sample is taken WITH or WITHOUT remission?