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Provost Office conducted a study of independence between two binary variables, (X, Y). Variable X indicates a student's major (MATH or Computer Science) and Y characterizes individual performance (Above or Below Average). A group of n = 600 respondents has been summarized in the contingency table below. Observed Frequencies Y = ABOVE Y = BELOW Row Sum %3D %3D X = MATH 140 60 %3D X = COMP Science 310 90 %3D Column Sum 600 Expected Counts Y = ABOVE Y = BELOW Row Sum %3D X = MATH %3D X = COMP Science %3D Column Sum 600 Test independence of (X, Y) at the significance level a = 0.05 • ESTIMATE EXPECTED COUNTS under the null hypothesis of homogeneity / independence between X and Y. Then place them into the table provided above. • Evaluate the TEST STATISTIC for this study • Specify CRITICAL VALUE (or VALUES) required for hypothesis testing procedure. • Formulate REJECTION RULE and then state your decision about independence.

Provost Office conducted a study of independence between two binary variables, (X, Y). Variable X indicates a student's major (MATH or Computer Science) and Y characterizes individual performance (Above or Below Average). A group of n = 600 respondents has been summarized in the contingency table below. Observed Frequencies Y = ABOVE Y = BELOW Row Sum %3D %3D X = MATH 140 60 %3D X = COMP Science 310 90 %3D Column Sum 600 Expected Counts Y = ABOVE Y = BELOW Row Sum %3D X = MATH %3D X = COMP Science %3D Column Sum 600 Test independence of (X, Y) at the significance level a = 0.05 • ESTIMATE EXPECTED COUNTS under the null hypothesis of homogeneity / independence between X and Y. Then place them into the table provided above. • Evaluate the TEST STATISTIC for this study • Specify CRITICAL VALUE (or VALUES) required for hypothesis testing procedure. • Formulate REJECTION RULE and then state your decision about independence.

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Provost Office conducted a study of independence between two binary variables, (X,Y). Variable X indicates a student's major (MATH or Computer Science) and Y characterizes individual performance (Above or Below Average). A group of n = 600 respondents has been summarized in the contingency table below. Observed Frequencies Y = ABOVE Y = BELOW Row Sum X = MATH 140 60 X = COMP Science 310 90 Column Sum 600 Expected Counts Y = ABOVEY = BELOW Row Sum X = MATH X = COMP Science Column Sum 600 Test independence of (X, Y) at the significance level a = 0.05 • ESTIMATE EXPECTED COUNTS under the null hypothesis of homogeneity / independence between X and Y. Then place them into the table provided above. • Evaluate the TEST STATISTIC for this study • Specify CRITICAL VALUE (or VALUES) required for hypothesis testing procedure. • Formulate REJECTION RULE and then state your decision about independence. 7
Transcribed Image Text:Provost Office conducted a study of independence between two binary variables, (X,Y). Variable X indicates a student's major (MATH or Computer Science) and Y characterizes individual performance (Above or Below Average). A group of n = 600 respondents has been summarized in the contingency table below. Observed Frequencies Y = ABOVE Y = BELOW Row Sum X = MATH 140 60 X = COMP Science 310 90 Column Sum 600 Expected Counts Y = ABOVEY = BELOW Row Sum X = MATH X = COMP Science Column Sum 600 Test independence of (X, Y) at the significance level a = 0.05 • ESTIMATE EXPECTED COUNTS under the null hypothesis of homogeneity / independence between X and Y. Then place them into the table provided above. • Evaluate the TEST STATISTIC for this study • Specify CRITICAL VALUE (or VALUES) required for hypothesis testing procedure. • Formulate REJECTION RULE and then state your decision about independence. 7
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