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. When defining whether age is significant in explaining happiness,the competing hypotheses are _____________________. A) H₀:β₁ = 1;H_A:β₁ ≠ 1 B) H₀:β₁ = 0;H_A:β₁ ≠ 0 C) H₀:β₁ ≤ 0;H_A:β₁ 0 D) H₀:b₁ ≥ 1;H_A:β₁

Question

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. When defining whether age is significant in explaining happiness,the competing hypotheses are _____________________. A) H₀:β₁ = 1;H_A:β₁ ≠ 1 B) H₀:β₁ = 0;H_A:β₁ ≠ 0 C) H₀:β₁ ≤ 0;H_A:β₁ > 0 D) H₀:b₁ ≥ 1;H_A:β₁ < 1

Quizplus · Accepted Answer

The null hypothesis is that age does not have a significant effect on happiness. So, the competing hypotheses are: - H₀:β₁ = 0 (age does not have a significant effect) - H_A:β₁ ≠ 0 (age has a significant effect, positive or negative) Option B represents these hypotheses. Options A, C, and D have different alternative hypotheses or incorrect inequality signs.

A Sociologist Wishes to Study the Relationship Between Happiness and Age.He