A random sample of 30 companies dealing in network products was selected to determine the proportion of such companies that have implemented new software to improve productivity. It turned out that 8 had implemented such software. Find a 95% confidence interval on p, the true proportion of such companies that have implemented new software and how many companies would need to be sampled in order to have a 95% confident that the estimate of p is within 0.05 of the true value?
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