IMathAS-libretexts

Did I Get This?

In our cry count of newborns and IQ at age three example, we have found the following:

The correlation coefficient of our observed data is r = 0.4.
The p-value of the test:
- H_o: There is no linear relationship between cry count and IQ.
- H_a: There is a significant linear relationship between cry count and IQ.
is p=0.012.

Which of the following statements is true?

The data provide moderately weak evidence of a fairly strong linear relationship between cry count (a few days after birth) and IQ (at age 3) among infants.
The data provide fairly strong evidence of a fairly strong linear relationship between cry count (a few days after birth) and IQ (at age 3) among infants.
The data provide moderately weak evidence of a moderately weak relationship between cry count (a few days after birth) and IQ (at age 3) among infants.
The data provide fairly strong evidence of a moderately weak relationship between cry count (a few days after birth) and IQ (at age 3) among infants.