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Prof. Campbell 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. Campbell is how she is viewed by students of different majors. Each of Prof. Campbell'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 soo of Prof. Campbell'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 (₂) under the assumption that the variables student's major school and response to Question 17 are unrelated; and the third number

Prof. Campbell 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. Campbell is how she is viewed by students of different majors. Each of Prof. Campbell'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 soo of Prof. Campbell'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 (₂) under the assumption that the variables student's major school and response to Question 17 are unrelated; and the third number

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Prof. Campbell 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. Campbell is how she is viewed by students of different majors. Each of Prof. Campbell'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 soo of Prof. Campbell'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 (₂) 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. (fo-fe) (Observed cell frequency-Expected cell frequency)² JE 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 (fo-f) values to three or more decimal places. fe (Send data to Excel Response to Question 17 "No" "Maybe" "Yes" Total Student's major school School of Physical Total Sciences 19 0 0 28 27.13 0.028 School of Social Sciences 53 0 0 53 48.96 0.333 134 0 0 240 School of Engineering (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ 30 25.91 0.646 21 25.91 0.930 76 75.18 0.009 127 86 0 0 133 102 102 (c) Find the p-value. (Round to three or more decimal places.) 0 296 500 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 0.05 level of significance. (b) Find the value of the test statistic. (Round to two or more decimal places.) 0 X (d) Can Prof. Campbell conclude that the variables student's major school and response to Question 17 are related? Use the 0.05 level of significance. O Yes O No 3 X
Transcribed Image Text:Prof. Campbell 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. Campbell is how she is viewed by students of different majors. Each of Prof. Campbell'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 soo of Prof. Campbell'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 (₂) 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. (fo-fe) (Observed cell frequency-Expected cell frequency)² JE 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 (fo-f) values to three or more decimal places. fe (Send data to Excel Response to Question 17 "No" "Maybe" "Yes" Total Student's major school School of Physical Total Sciences 19 0 0 28 27.13 0.028 School of Social Sciences 53 0 0 53 48.96 0.333 134 0 0 240 School of Engineering (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ 30 25.91 0.646 21 25.91 0.930 76 75.18 0.009 127 86 0 0 133 102 102 (c) Find the p-value. (Round to three or more decimal places.) 0 296 500 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 0.05 level of significance. (b) Find the value of the test statistic. (Round to two or more decimal places.) 0 X (d) Can Prof. Campbell conclude that the variables student's major school and response to Question 17 are related? Use the 0.05 level of significance. O Yes O No 3 X
Prof. Campbell 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. Campbell is how she is viewed by students of different majors. Each of Prof. Campbell'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. Campbell'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 (₂) 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. (fo-fe) (Observed cell frequency-Expected cell frequency)² JE 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 (fo-fa) values to three or more decimal places. SE Send data to Excel Response to Question 17 "No" "Maybe" "Yes" Total Student's major school School of Physical Sciences 19 School of Social Sciences 53 0 0 53 48.96 0.333 134 0 0 240 (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) (b) Find the value Chi-square more decimal places.) 0 School of Engineering 30 25.91 0.646 21 25.91 0.930 76 75.18 0.009 127 Total 0 0 28 27.13 0.028 86 0 296 0 133 102 (c) Find the p-value. (Round to three or more decimal places.) 0 102 500 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.os level of significance. tatistic. (Round to two or X (d) Can Prof. Campbell conclude that the variables student's major school and response to Question 17 are related? Use the 0.05 level of significance. O Yes No S $
Transcribed Image Text:Prof. Campbell 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. Campbell is how she is viewed by students of different majors. Each of Prof. Campbell'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. Campbell'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 (₂) 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. (fo-fe) (Observed cell frequency-Expected cell frequency)² JE 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 (fo-fa) values to three or more decimal places. SE Send data to Excel Response to Question 17 "No" "Maybe" "Yes" Total Student's major school School of Physical Sciences 19 School of Social Sciences 53 0 0 53 48.96 0.333 134 0 0 240 (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) (b) Find the value Chi-square more decimal places.) 0 School of Engineering 30 25.91 0.646 21 25.91 0.930 76 75.18 0.009 127 Total 0 0 28 27.13 0.028 86 0 296 0 133 102 (c) Find the p-value. (Round to three or more decimal places.) 0 102 500 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.os level of significance. tatistic. (Round to two or X (d) Can Prof. Campbell conclude that the variables student's major school and response to Question 17 are related? Use the 0.05 level of significance. O Yes No S $
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