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Part 1: Expected Values1. Part 1: Expected Values The first thing we will do is compute what we expect to see in the table if
Part 1: Expected Values1.
Part 1: Expected Values The first thing we will do is compute what we expect to see in the table if a person's voting participation has nothing to do with their education level (if they are independent). The expected values that you compute will be different than those in that table above which actually occurred..that is ok. Our Chi Square Test will decide if the difference between what we expect to happen and what actually occurred is large enough to be significant. To compute the expected values for each box on the table, use the formula: Expected Value = (row total ) . (column total) total on entire table I computed the expected value for the "yes/some college" box as an example and added it to the table. You will complete the rest of the expected values. This box is in the "yes" column and the "some college" row, so I will use those totals for my expected value. The total in the "yes" column = (52+210+325+280) = 867 The total in the "some college" row = (325 + 81) = 406 The total on the entire table = 1244 (406) * (867) Expected Value = = 283 1244 So, if education level and voter participation are independent of each other, we expect about 283 of the people with "some college" to have voted in the election. Use this method to complete the table below. Computed Expected Values Voted in the Election Highest Educational Level Yes No Not a High School Graduate High School Grad/No College Some College or 2 yr. degree 283 4-year degree or higher4. Using your Chi-Square Table, record the critical value in the space below using a 0.05 significance level. Critical Value: 5. Either using your p-value above or using your T-Stat and Critical Value above what can we conclude (use the 0.05 significance level)? Is voter participation independent or dependent on educational level. (I'm not looking for your opinion, please explain using either your p-value or Test-Stat).The table below displays data recorded from a survey after the 2016 presidential election which examined an eligible voter's highest educational attainment and whether or not they voted in the election. Voted in the Election Highest Educational Level Yes No Not a High School Graduate 52 41 High School Grad/No College 210 180 Some College or 2 yr. degree 325 81 4-year degree or higher 280 75 We will use a Chi-Square Test for Independence to determine if a person's voting participation is dependent on their education levelStep by Step Solution
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