Can someone help me with the last part please ;-;

The arizona department of transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed to 75 from 65 mph. at least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.09 of the true proportion?

Awife was having an affair with her neighbor. the wife and her husband had a prenuptial agreement that prevented the wife from receiving any of the husband’s sizable fortune in the event of a divorce. the wife and her neighbor formed a plan to murder the husband and run away together with the wife’s inheritance. the neighbor shot the husband one evening, killing him instantly, then drove to a town 100 miles away and checked into a motel. later that night, the police showed up at the motel with a valid warrant for the neighbor’s arrest. after the neighbor was arrested and placed in a police car, the police asked the motel clerk for permission to search the room, and the clerk granted the request. the police found the gun hidden in the tank of the toilet. the wife and the neighbor were each charged with first-degree murder and tried separately. at her trial, the wife sought to suppress any evidence of the gun, arguing that it was seized illegally. what is the prosecution’s strongest response to this argument? athe motel clerk gave the police permission to search the room. bthe wife was not staying in the motel room where the gun was found. cthe gun was found in a search incident to a lawful arrest. dthe neighbor did not have a reason

Does this sound good? hey great britain, we need to talk. we’ve been through a lot these past couple of years and i don’t think that i would’ve made it this far without you but, i think it’s time that i tried to. don’t get me wrong, i think you’re a pretty great country! you’re smart, you’re funny, you're rich, and very dominant but, these past couple of years you’ve been a little too dominant. as each year goes by you become more and more self-absorbed. you’re only concerned about your own well-being. for example, when we get into arguments you always raise the taxes on paper and tea prices; it just isn’t fair. not only are you selfish but, you always want your buddies around. it’s not very fun cleaning up after you and your british soldiers (you guys never put the toilet seat down). they’re always popping up unexpected, and you always force me to let them stay for a couple of days. not to mention how irresponsible you are. i don’t like it when you force some of your responsibility on me. it’s not my fault that you got yourself into another war so, why should i have to pay for it? listen, in the beginning, what we had was good but, you and i aren’t so compatible anymore. i think it’s best if i took some time to be independent and think for myself for once. -yours truly, the states