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.
a. If a random sample of 1500 households with televisions is selected, what sample proportion values will lead to this show's cancellation, assuming a 5% significance level?
b. What is the probability that this show will be cancelled if 13.4% of all viewing households are watching it? That is, what is the probability that a sample will lead to rejection of the null hypothesis? You can assume that 13.4% is the population proportion (even though it wouldn't be known to the network).