A new and improved rocket launching system is being considered for short-range assault rockets. The requirement is that 80% of the rockets shall strike the target area at 800 meters. A sample of 36 experimental launches is made with 29 striking the target area.
a) Compute a 95% Confidence Interval for the true population proportion of successes.
b) Based on this analysis can you conclude that the new system meets the requirement? Explain your conclusion.