okmarks Window Help www-awu.aleks.com C cGraw-Hill Campus - Introduction to Statistics... McGraw-Hill Education Campus ALEKS - Olivia Gaskill - Lea = O CHI-SQUARE TESTS, INFERENCES FOR REGRESSION, AND . Chi-square test of independence Olivia y V Espanol Prof. Nelson has decided to undertake a careful analysis of her student evaluations from the past several years. Question 17 on the evaluation form is "Would you recommend this professor to another student?" A matter of special concern to Prof. Nelson is how she is viewed by students of different majors. Each of Prof. Nelson's students can be placed into a category according to the student's major school. (Students who have majors from more than one school are not included.) So, there are two variables under consideration: student's major school ("School of Social Sciences", "School of Engineering", or "School of Physical Sciences") and response to Question 17 ("No", "Maybe", or "Yes"). The contingency table below contains a summary of the responses to Question 17 for a random sample of 500 of Prof. Nelson's students. In each cell of the table is written three numbers: the first number is the observed cell frequency ({); the second number is the expected cell frequency () under the assumption that the variables student's major school and response to Question 17 are unrelated; and the third number is the following value. (o /E) (Observetellfrequency Expectedellfrequency JE Expectedellfrequency The numbers labeled "Total" are totals for observed frequency. Part 1 Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your O E values to three or more decimal places. JE Send data to Excel Student's major school School of Social School of School of Engineering Physical Total Sciences Sciences 1039 50 29 "No 27.24 0.114 42 33 26 Response "Maybe" 46-66 26.26 18.08 Question 0.465 1.730 0.154 150 67 34 "Yes 83.68 1301 0.001 Total 231 130 139 500 Part 2 Answer the following to summarize the test of the hypothesis that the variables student's major school and response to Question 17 are unrelated. For your test, use the o,10 level of significance. (a) Determine the type of Feet statistic to use. Type of test statistic: Explanation check 2022 McGrew Hill LLC. All Rights Reserved. T ed. Terms of useWindow Help awww-awu.aleks.com C Campus - Introduction to Statistics... McGraw-Hill Education Campus ALEKS - Olivia Gask O CHI-SQUARE TESTS, INFERENCES FOR REGRESSION, AND . Olivia v Chi-square test of independence values to three of more Espanol Send data to Excel Student's major school School of School of School of Social Sciences Engineering Physical Total Sciences 39 30 29 "No" 27.24 98 0.114 42 33 26 Response to "Maybe" 46.60 26.26 28.0 101 Question 17 0.465 1.730 0.154 150 67 "Yes" 83.68 Total 231 130 500 Part 2 Answer the following to summarize the test of the hypothesis that the variables student's major school and response to Question 17 are unrelated. For your test, use the o.10 level of significance. (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) (b) Find the value of the test statistic. r more decimal places.) (c) Find the p value. (Round to three or more decimal places. (0) Can Prof. Nelson conclude that the variables student's major school and response Question 17 are related? Use the 0.10 level of significance. Yes No Explanation Check