Use the result of Exercise 13 to rework Exercise 47, given that we have good reason to believe that the proportion we are trying to estimate is at least 0.65.
Exercise 13
Exercise 13
Find a formula for n analogous to that of Exercise 12 when it is known that θ must lie on the interval from θ' to θ"
Exercise 12
Use the formula of Theorem 7 to demonstrate that we can be at least (1 - α)100% confident that the error we make is less than e when we use a sample proportion
Exercise 47
Suppose that we want to estimate what proportions of all drivers exceed the legal speed limit on a certain stretch of road between Los Angeles and Bakersfield. Use the formula of Exercise 12 to determine how large a sample we will need to be at least 99% confident that the resulting estimate, the sample proportion, is off by less than 0.04
Exercise 12
Use the formula of Theorem 7 to demonstrate that we can be at least (1 - α)100% confident that the error we make is less than e when we use a sample proportion