Cashier records from the last year that 35% of all Ralph's grocery store customers use a previously-obtained Ralph's discount card upon checkout. Management suspects the percentage of actual cardholders is higher because some customers may not use their Ralph's during every visit. They decide to sample random customers who enter the store, and ask them if they have a Ralph's card. Suppose they solicit 400 customers one day, and find that 160 of the have a Ralph's card.
Assuming for a moment that 35% of all Ralph's customers have a discount card, what is the probability of getting a sample proportion at least this big? U (round to 2 decimal places)=, Q (round to 4 decimal places)=, Probability (round to 4 decimal places)?