Question

For a data set of brain volumes ​(cm3​) and IQ scores of eight males, the linear correlation coefficient is found and the​ P-value is 0.793. Write a statement that interprets the​ P-value and includes a conclusion about linear correlation.The​ P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is [WHAT PERCENT] which is [LOW OR HIGH] so there [IS OR IS NOT] sufficient evidence to conclude that there is a linear correlation between brain volume and IQ score in males.​(Type an integer or a decimal. Do not​ round.)

Answer 1

Answer:

The​ P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.793 which is high so there is not sufficient evidence to conclude that there is a linear correlation between brain volume and IQ score in males.

Step-by-step explanation:

We are given the following information in the question:

p-value = 0.793

Significance level = 0.05

$H_{0}: \mu = \text{ The population correlation coefficient is not significantly different from 0}\\H_A: \mu = \text{ The population correlation coefficient is significantly different from 0}$

Since p value is greater than the significance value so we fail to reject the null hypothesis and accept the null hypothesis.   We conclude that there is not a significant linear relationship between two variables.

Thus, we can write:

The​ P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.793 which is high so there is not sufficient evidence to conclude that there is a linear correlation between brain volume and IQ score in males.