It is commonly expected that as a person ages, their muscle mass decreases. To further examine this relationship in women, a nutritionist randomly selected 60 female patients from her clinic, 15 women from each 10-year age group beginning with age 40 and ending with age 80. For each patient, her age and current muscle mass was recorded. A scatterplot, least squares regression line, and coefficient of determination are as follows.
-The p-value for these data was less than 0.0001. Write a conclusion of the test in the context of the study.
A) We have strong evidence that an increase in age causes a decrease in muscle mass.
B) We have strong evidence that age is negatively correlated with muscle mass.
C) We do not have strong evidence that an increase in age causes a decrease in muscle mass.
D) We do not have strong evidence that age is negatively correlated with muscle mass.

Question

It is commonly expected that as a person ages, their muscle mass decreases. To further examine this relationship in women, a nutritionist randomly selected 60 female patients from her clinic, 15 women from each 10-year age group beginning with age 40 and ending with age 80. For each patient, her age and current muscle mass was recorded. A scatterplot, least squares regression line, and coefficient of determination are as follows. 
-The p-value for these data was less than 0.0001. Write a conclusion of the test in the context of the study.
A) We have strong evidence that an increase in age causes a decrease in muscle mass. 
B) We have strong evidence that age is negatively correlated with muscle mass. 
C) We do not have strong evidence that an increase in age causes a decrease in muscle mass. 
D) We do not have strong evidence that age is negatively correlated with muscle mass.

Quizplus · Accepted Answer

A p-value less than 0.0001 indicates strong evidence against the null hypothesis, suggesting a significant negative correlation between age and muscle mass.

It Is Commonly Expected That as a Person Ages, Their