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A Sociologist Wishes to Study the Relationship Between Happiness and Age

Question 16

Multiple Choice

A sociologist wishes to study the relationship between happiness and age. He interviews 24 individuals and collects data on age and happiness, measured on a scale from 0 to 100. He estimates the following model: Happiness = β0 + β1Age + ε. The following table summarizes a portion of the regression results. A sociologist wishes to study the relationship between happiness and age. He interviews 24 individuals and collects data on age and happiness, measured on a scale from 0 to 100. He estimates the following model: Happiness = β<sub>0</sub> + β<sub>1</sub>Age + ε. The following table summarizes a portion of the regression results.   When defining whether age is significant in explaining happiness, the competing hypotheses are ________. A)  H<sub>0</sub>: β<sub>1</sub> = 1; H<sub>A</sub>: β<sub>1</sub> ≠ 1 B)  H<sub>0</sub>: β<sub>1</sub> = 0; H<sub>A</sub>: β<sub>1</sub> ≠ 0 C)  H<sub>0</sub>: β<sub>1</sub> ≤ 0; H<sub>A</sub>: β<sub>1</sub> > 0 D)  H<sub>0</sub>: b<sub>1</sub> ≥ 1; H<sub>A</sub>: β<sub>1</sub> < 1 When defining whether age is significant in explaining happiness, the competing hypotheses are ________.


A) H0: β1 = 1; HA: β1 ≠ 1
B) H0: β1 = 0; HA: β1 ≠ 0
C) H0: β1 ≤ 0; HA: β1 > 0
D) H0: b1 ≥ 1; HA: β1 < 1

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