7:45PM Mon Mar 25 eoe PR ECE 72 B < Back Week 8 Test ¢{ Back = @ @ Attempt Score 19/20-95% Overall Grade (Highest Attempt) 19/20-95% Question 1 1/ 1 point A color code personality test categorizes people into four colors — Red (Power), Blue (Intimacy), Green (Peace), and Yellow (Fun). In general, 25% of people are Red, 35% Blue, 20% Green, and 20% Yellow. An art class of 45 students is tested at a university and 7 are found to be Red, 18 Blue, 9 Green, and 11 Yellow. Can it be concluded that personality type has an impact on students' areas of interest and talents, such as artistic students? Test at a 0.05 level of significance. Enter the observed and expected counts for each category in the table below. Do Not Round. Red Blue Green Yellow Observed Counts Expected Counts Answer for blank # 1: 7 v(12.5 %) Answer for blank # 2: 18 v(12.5 %) Answer for blank # 3: 9 v(12.5 %) Answer for blank # 4: 11 v(12.5 %) Answer for blank # 5: 11.25 «(12.5 %) Answer for blank # 6: 15.75 (12.5 %) Answer for blank # 7: 9 v(12.5 %) Answer for blank # 8: 9 v(12.5 %) W Hide question 1 feedback The observed counts are given 7, 18, 9 and 11. Calculate the expected counts 45*.25, 45*.35, 45*.20 and 45*.20
