Question

Because a person’s weight depends on height and proportion of muscle to fat tissue, Dr. Kudolo decided to investigate the relationship between body mass index and insulin levels at the beginning of the study. Is there a relationship between body mass index (Pre-BMI) and insulin levels (Pre-Ins)?

a. What type of inferential test should be used to test the inferred hypothesis? Why is this the correct test? (I just want to know the test and the reason, no need for data)

Answer 1

Since both the variables: Body Mass Index and Insulin Levels are quantitative (have numerical value), to answer the Research Question: " Is there a relationship between body mass index (Pre-BMI) and insulin levels (Pre-Ins)?", the following inferential test should be used to test the inferred hypothesis :

Step 1: From the data on Body Mass Index and Insulin Levels, calculate the Linear Correlation Coefficient (r_xy) between the 2 variables

Step 2: Use the Hypothesis Test for the population correlation to learn of a Linear relation between the two variables:

H0: Null Hypothesis: = 0 (There is no linear relation between x and y

HA: Alternative Hypothesis: 0 (There is linear relation between x and y