Suppose that 20% of all television viewers in the country watch a particular program.
a. For a random sample of 2500 households measured by a rating agency, describe the distribution of the possible sample proportions who watch the program.
b. The program will be cancelled if the ratings show less than 17% of households watching it in a random sample of households. Given that 2500 households are used for the ratings, is the program in danger of getting cancelled? Explain.