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. Test the hypothesis that the proportion of households that are likely to purchase HDTV will be greater than 15%. Use a 5% level of significance.

In the text box that accompanies this question, please provide:

(1) The null and alternate hypotheses (don't worry about using Greek symbols, state your hypotheses in words -- e.g. The null hypothesis is: the proportion of defects in this population is = 10%, while the alternate hypothesis is: the proportion of defects in this population is different from 10%)

(2) Appropriate distribution for this test (e.g. would you use the Z or Student's t distribution)?

(3) Calculated test statistic

(4) Critical test statistic

(5) Your decision