Assessing Statistical Independence in a Categorical Data Set Answer C & D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Assessing Statistical Independence in a Categorical Data Set Answer C & D
c) If gender is statistically independent of the length of time living in the school district,
fill in the expected cross-tabulation data table below.
Lab Module 3 - Worksheet
SAVANNAH
math labs
Male
Live in School District 5 years
Live in School District < 5 years
Total
Live in School District 25 years
Live in School District < 5 years
Total
Consider the observed cross-tabulation data table below.
Female
183
217
Male Female
125 150
58
183
Total
275
125
400
Total
275
67 125
217 400
Compute the statistic T =
(Observed; - Expected;)2 for the cross-tabulated data above.
Expected;
₁
Does the data indicate that the length of time living in the school district is statistically
independent of GPA?
d) Although your primary interest is identifying factors related to candidate preference,
why might you also be interested in how all categorical variables relate to each other?
Explain your answer.
Transcribed Image Text:c) If gender is statistically independent of the length of time living in the school district, fill in the expected cross-tabulation data table below. Lab Module 3 - Worksheet SAVANNAH math labs Male Live in School District 5 years Live in School District < 5 years Total Live in School District 25 years Live in School District < 5 years Total Consider the observed cross-tabulation data table below. Female 183 217 Male Female 125 150 58 183 Total 275 125 400 Total 275 67 125 217 400 Compute the statistic T = (Observed; - Expected;)2 for the cross-tabulated data above. Expected; ₁ Does the data indicate that the length of time living in the school district is statistically independent of GPA? d) Although your primary interest is identifying factors related to candidate preference, why might you also be interested in how all categorical variables relate to each other? Explain your answer.
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