Week 8 Knowledge Check Homework Practice Questions - SOLVED

Week 8 Knowledge Check Homework Practice Questions Return to Assessment List Part 1 of 4 - Chi-Square Test for Homogeneity 4.0/ 8.0 Points Question 1 of 20 Click to see additional instructions A college prep school advertises that their students are more prepared to succeed in college than other schools. To verify this, they categorize GPA’s into 4 groups and look up the proportion of students at a state college in each category. They find that 7% have a 0-0.99, 21% have a 1-1.99, 37% have a 2-2.99, and 35% have a 3-4.00 in GPA. They then take a random sample of 200 of their graduates at the state college and find that 19 has a 0-0.99, 28 have a 1-1.99, 82 have a 2-2.99, and 71 have a 3-4.00. Can they conclude that the grades of their graduates are distributed differently than the general population at the school? Test at the 0.05 level of significance. Enter the test statistic - round to 4 decimal places. Test statistic: 8.1037 Answer Key: 7.3315 Feedback: 0-0.99 1-1.99 2-2.99 3-4.00 Observed Counts Expected Counts =200*0.07 =14 =200*.21= 42 =200*.37 = 74 =200*.35 = 70 Test Stat = Test Stat = 7. Question 2 of 20 Click to see additional instructions MATH302 B007 Win 20   Tests & Quizzes Tests & Quizzes 2/27/2020 APUS CLE : MATH302 B007 Win 20 : Tests & Quizzes A company manager believes that a person’s ability to be a leader is directly correlated to their zodiac sign. He never selects someone to chair a committee without first evaluating their zodiac sign. An irate employee sets out to prove her manager wrong. She claims that if zodiac sign truly makes a difference in leadership, then a random sample of 210 CEO’s in our country would reveal a difference in zodiac sign distribution. She finds the following zodiac signs for her random sample of 210 CEO’s: Births Signs 25 Aries 13 Taurus 17 Gemini 21 Cancer 16 Leo 18 Virgo 15 Libra 16 Scorpio 20 Sagittarius 11 Capricorn 23 Aquarius 15 Pisces Can she conclude that zodiac sign makes a difference in whether or not a person makes a good leader? Enter the p-value - round to 4 decimal places. p-value = 0.4798 Answer Key: 0.4798 Feedback: The Expected Count is all the same value. 210*(1/12) = 17.5 Births Signs Expected Count 25 Aries 17.5 13 Taurus 17.5 17 Gemini 17.5 21 Cancer 17.5 16 Leo 17.5 18 Virgo 17.5 15 Libra 17.5 16 Scorpio 17.5 20 Sagittarius 17.5 2/27/2020 APUS CLE : MATH302 B007 Win 20 : Tests & Quizzes 0.0/ 1.0 Points 1.0/ 1.0 Points 11 Capricorn 17.5 23 Aquarius 17.5 15 Pisces 17.5 Use Excel to find the p-value =CHISQ.TEST(Highlight Observed, Highlight Expected) Question 3 of 20