What proportion of UNC basketball fans have watched all of the “last dance” (ESPN special on Michael Jordan)? We asked 200 UNC basketball fans and 65 said yes, they watched the last “Last dance”. What is the 95% confidence interval to estimate this proportion.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?