Question

In: Statistics and Probability

You work for the Colorado Chapter of the Mutual UFO Network (MUFON) that is responsible for...

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

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

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

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

Solutions

Expert Solution


orchestra answered 1 year ago
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