Suppose a new product is to be launched on the market. To gain an idea of the potential market size, a sample of people selected at random are to be shown the product and asked if they would be willing to buy it. A 90% confidence interval for the proportion of all people who would buy the product will then be calculated based on the realized sample proportion of these people who would be willing to buy the product. In this case the largest sample size that would be required to allow us to be 90% confident that the realized sample proportion is within 0.02 of the true population proportion of all people who would be willing to buy the product is (rounded up to the nearest integer)