1. You work for the Colorado Chapter of the Mutual UFO Network(MUFON) that is responsible for compiling all UFO sightings in theUS. You are interested in whether there is a difference betweenrural and urban people in the mean number of UFOs they have everseen. You randomly sample 200 urban and 150 rural Coloradoans andask how many UFOs they’ve seen. Of the urbanites, the mean numberof UFOs is 1.3 UFOs with a standard deviation of .4. Of the ruralfolks, the mean number of UFOs is 1.5 UFOs with a standarddeviation of .6.

Do a two-sample hypothesis test(alpha=.05) to determine whether you can claim that there is adifference urban and rural Coloradoans in the mean number of UFOsever seen. You must show all steps and all calculations.

1. You are interested in studying the relationship betweenbelieving in aliens and believing in God. You randomly sample 400Coloradoans and ask them whether they believe in aliens and whetherthey believe in God. Of the 290 people who believe in God, 83 saidthey believed in aliens. Of the 110 people who do not believe inGod, 27 said they believe in aliens.

Do a two-sample hypothesis test(alpha=.05) to determine whether there’s a difference between thosewho believe in God and those who don’t in the percent who believein aliens. Show all steps of the hypothesis test and allcalculations.