Awareness survey. A telemarketer at a credit card company is instructed to ask the next 18 customers that call into the 800 number whether they are aware of the new Platinum card that the company is offering. Of the 18, 17 said they were aware of the program.

a) Check the assumptions and conditions for inference on proportions.

b) If conditions are met, find a 95% confidence interval for the true proportion of customers who are aware of the new card. If conditions are not met, explain why.