Answer with explanation

25. A chemist claims he has created an additive to increase the life of automobile batteries. Right now, only about 80% of batteries without the additive last longer than 3 years. He takes a random sample of 500 batteries with the additive and find that about 85% of the batteries now last longer than 3 years. Use level of significance a 0.01 to determine if the additive works. (Please illustrate all the four states)