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a) If the decision to vote for Joanna is statistically independent of the length of time living in the school district, fill in the expected cross-tabulation data table below. Live in School District > 5 years Live in School District < 5 years Total 172 Consider the observed cross-tabulation data table below. Live in School District > 5 years Live in School District < 5 years Total Support Joanna Support Another Candidate Total 275 125 400 SAVANNAH math labs Support Joanna Support Another Candidate Total 155 275 73 125 228 400 120 52 172 Lab Module 3 - Worksheet 228 Compute the statistic T = ₁ (Observed Expected.) for the cross-tabulated data above. Does the data indicate that the decision to vote for Joanna is statistically independent of the length of time living in the school district?

a) If the decision to vote for Joanna is statistically independent of the length of time living in the school district, fill in the expected cross-tabulation data table below. Live in School District > 5 years Live in School District < 5 years Total 172 Consider the observed cross-tabulation data table below. Live in School District > 5 years Live in School District < 5 years Total Support Joanna Support Another Candidate Total 275 125 400 SAVANNAH math labs Support Joanna Support Another Candidate Total 155 275 73 125 228 400 120 52 172 Lab Module 3 - Worksheet 228 Compute the statistic T = ₁ (Observed Expected.) for the cross-tabulated data above. Does the data indicate that the decision to vote for Joanna is statistically independent of the length of time living in the school district?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Assessing Statistical Independence in a Categorical Data Set Answer A & B
Question 1: Your friend Joanna is running for class president. You conduct a poll to assess Joanna's current level of support among students eligible to vote in the school election. You collect a simple random sample of N = 400 students and ask the following questions: • Which candidate are you likely to support in the upcoming election? • How long have you been living in this school district? . Are you male or female? • What is your grade point average (GPA)? Among the 400 students polled, you find that 172 students (43%) support Joanna and 228 students (57%) support a different candidate. 275 students (69%) have lived in the school district for 5 years or more and 125 students (31%) moved to the school district within the last five years. 183 students (46%) are male and 217 students (54%) are female. 148 students (37%) had a GPA greater than or equal to 3.5 and 252 students (63%) had a GPA less than 3.5. a) If the decision to vote for Joanna is statistically independent of the length of time living in the school district, fill in the expected cross-tabulation data table below. Live in School District > 5 years Live in School District < 5 years Total Consider the observed cross-tabulation data table below. Live in School District > 5 years Live in School District < 5 years Total Support Joanna Support Another Candidate SAVANNAH math labs 172 Support Joanna Support Another Candidate 155 120 52 172 Lab Module 3 - Worksheet 228 73 228 Total 275 125 400 Total 275 125 400 Compute the statistic T = ₁ (Observed-Expected) for the cross-tabulated data above. Does the data indicate that the decision to vote for Joanna is statistically independent of the length of time living in the school district?
Transcribed Image Text:Question 1: Your friend Joanna is running for class president. You conduct a poll to assess Joanna's current level of support among students eligible to vote in the school election. You collect a simple random sample of N = 400 students and ask the following questions: • Which candidate are you likely to support in the upcoming election? • How long have you been living in this school district? . Are you male or female? • What is your grade point average (GPA)? Among the 400 students polled, you find that 172 students (43%) support Joanna and 228 students (57%) support a different candidate. 275 students (69%) have lived in the school district for 5 years or more and 125 students (31%) moved to the school district within the last five years. 183 students (46%) are male and 217 students (54%) are female. 148 students (37%) had a GPA greater than or equal to 3.5 and 252 students (63%) had a GPA less than 3.5. a) If the decision to vote for Joanna is statistically independent of the length of time living in the school district, fill in the expected cross-tabulation data table below. Live in School District > 5 years Live in School District < 5 years Total Consider the observed cross-tabulation data table below. Live in School District > 5 years Live in School District < 5 years Total Support Joanna Support Another Candidate SAVANNAH math labs 172 Support Joanna Support Another Candidate 155 120 52 172 Lab Module 3 - Worksheet 228 73 228 Total 275 125 400 Total 275 125 400 Compute the statistic T = ₁ (Observed-Expected) for the cross-tabulated data above. Does the data indicate that the decision to vote for Joanna is statistically independent of the length of time living in the school district?
b) If the decision to vote for Joanna is statistically independent of gender, fill in the expected cross-tabulation data table below. Support Joanna Support Another Candidate Male Female Total 172 Male Female Total Consider the observed cross-tabulation data table below. 228 Support Joanna Support Another Candidate 107 121 228 76 96 172 Total 183 217 400 Total 183 217 400 (Observed; - Expected;)² for the cross-tabulated data above. Compute the statistic T = ₁ Expected; Does the data indicate that the decision to vote for Joanna is statistically independent of gender?
Transcribed Image Text:b) If the decision to vote for Joanna is statistically independent of gender, fill in the expected cross-tabulation data table below. Support Joanna Support Another Candidate Male Female Total 172 Male Female Total Consider the observed cross-tabulation data table below. 228 Support Joanna Support Another Candidate 107 121 228 76 96 172 Total 183 217 400 Total 183 217 400 (Observed; - Expected;)² for the cross-tabulated data above. Compute the statistic T = ₁ Expected; Does the data indicate that the decision to vote for Joanna is statistically independent of gender?
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