For a data set of brain volumes (cm3) and IQ scores of eight males, the linear c

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.)

Explanation / Answer

Solution:-

The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 79.3% 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.

Null Hypothesis HO: The population correlation coefficient is not significantly different from 0.( = 0)

Alternate Hypothesis HA: The population correlation coefficient is significantly different from 0.( 0)

Significance level = 0.05

p value for test = 0.793

Since p value(0.793) is greater than the significance value so we have to accept the null hypothesis.

From this we can conclude that there is not a significant linear relationship(correlation) between two variables.

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