With the introduction of HDTV, TV stations will eventually have to start producing and broadcasting their shows in this new (digital) standard. Newark Broadcasting Company (NBC), trying to decide on their own strategy, conducted a poll in major metropolitan areas and found that 39 households were likely to purchase an HDTV within the next 18 months, while the remaining 161 were not likely to purchase an HDTV within the next 18 months.

NBCs strategy is to proceed with a substantial investment in new technology if their poll results show that over 15% of the households are likely to purchase HDTV. Should NBC proceed with this investment?

Construct a 95% Confidence Interval to answer this question -- show as much work as you can in the text box below. Be sure to show report the confidence interval and the answer to the question: "Should NBC proceed with this investment?"