According to the Center for Disease Control and Prevention, life expectancy at age 65 in America is about 18.7 years. Medical researchers have argued that while excessive drinking is detrimental to health, drinking a little alcohol every day, especially wine, may be associated with an increase in life expectancy. Others have also linked longevity with income and gender. The data relating to the length of life after 65 (Life) were collected. Data were collected related to the length of life after 65 (Life) including the average income (in $1,000s) (Income), the average number of alcoholic drinks consumed per day (Drinks), and a dummy variable Woman which is 1 when the individual is a woman and 0 otherwise. The following model was created: Life = β₀ + β₁Income + β₂Drinks + β₃Woman + ε. Output corresponding to this model is shown below. Which of the following are the competing hypotheses to determine if women live longer than men? A) H₀: β₃ ≤ 0; H_A: β₃ 0 B) H₀: β₃ ≥ 0; H_A: β₃

Question

According to the Center for Disease Control and Prevention, life expectancy at age 65 in America is about 18.7 years. Medical researchers have argued that while excessive drinking is detrimental to health, drinking a little alcohol every day, especially wine, may be associated with an increase in life expectancy. Others have also linked longevity with income and gender. The data relating to the length of life after 65 (Life) were collected. Data were collected related to the length of life after 65 (Life) including the average income (in $1,000s) (Income), the average number of alcoholic drinks consumed per day (Drinks), and a dummy variable Woman which is 1 when the individual is a woman and 0 otherwise. The following model was created: Life = β₀ + β₁Income + β₂Drinks + β₃Woman + ε. Output corresponding to this model is shown below. Which of the following are the competing hypotheses to determine if women live longer than men? A) H₀: β₃ ≤ 0; H_A: β₃ > 0 B) H₀: β₃ ≥ 0; H_A: β₃ < 0 C) H₀: β₃ = 0; H_A: β₃ ≠ 0? D) H₀: β₂ = b₃; H_A: β₂ ≠ b₃

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The Answer of According to the Center for Disease Control and Prevention, life expectancy at age 65 in America is about 18.7 years. Medical researchers have argued that while excessive drinking is detrimental to health, drinking a little alcohol every day, especially wine, may be associated with an increase in life expectancy. Others have also linked longevity with income and gender. The data relating to the length of life after 65 (Life) were collected. Data were collected related to the length of life after 65 (Life) including the average income (in $1,000s) (Income), the average number of alcoholic drinks consumed per day (Drinks), and a dummy variable Woman which is 1 when the individual is a woman and 0 otherwise. The following model was created: Life = β₀ + β₁Income + β₂Drinks + β₃Woman + ε. Output corresponding to this model is shown below. Which of the following are the competing hypotheses to determine if women live longer than men? A) H₀: β₃ ≤ 0; H_A: β₃ > 0 B) H₀: β₃ ≥ 0; H_A: β₃ < 0 C) H₀: β₃ = 0; H_A: β₃ ≠ 0? D) H₀: β₂ = b₃; H_A: β₂ ≠ b₃

According to the Center for Disease Control and Prevention, Life