Prof. Perez, always Interested in improving her teaching effectiveness, has decided to undertake a careful analysis of h

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Prof. Perez, always Interested in improving her teaching effectiveness, has decided to undertake a careful analysis of h

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Prof. Perez, always Interested in improving her teaching effectiveness, has decided to undertake a careful analysis of her student evaluations from the past several years. The last question on the student evaluation form, Question 17, is "Would you recommend this professor to another student?" A matter of special concern to Prof. Perez is how she is viewed by students of different majors. Each of Prof. Perez'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 mafor school ("School of Social Sciences", "School of Engineering", or "School of Physical Sciences") and answer 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. Perez's students. In each cell of the table Is written three numbers: the first number is the observed cell frequency (o); the second number is the expected cell frequency (g) under the assumption that the variables student's major school and answer to Question 17 are unrelated; and the third number is the following value. (10-16) (Observed cell frequency - Expected cell frequency)2 Expected cell frequency 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 Vo-S2) Vs values to three or more decimal places Send data to Excel X 5 2 School of Social Sciences Student's major school School of School of Physical Engineering Sciences Total SA 20 14

Part 1 Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your values to three or more decimal places JE Send data to Excel ? School of Social Sciences Student's major school School of School of Physical Engineering Sdences Total S6 20 24 "No" 25.80 D 100 1.304 45 21 36 "Maybe 26,32 0 102 Response to Question 17 1.075 B 151 88 59 "Yes" 150.19 76.88 70.92 298 0.004 1.608 2.003 Total 252 129 119 500

Total 252 129 119 300 Part 2 Answer the following to summarize the test of the bypothesis that the variables student's major school and answer to Question 17 are unrelated. For your test, use the 0.05 level of significance. (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) Y (6) Find the value of the test statistic (Round to two or more decimal places.) (c) Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.) (d) Can Prot. Perez conclude that the variables student's major school and answer to Question 17 are related? Use the 0.05 level of significance Yes No
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