Question: A television network decides to cancel one of its shows if it is convinced that less than 14% of the viewing public are watching this show.
1. If a random sample of 1500 households with televisions is selected, what sample proportion values will lead to this show's cancellation? Assume a 5% significance level?
2. What is the probability that this show will be cancelled if 13.4% of all of viewing households are watching it?