Question

P-Values In Exercises 13–16, write a statement that interprets the P-value and includes a conclusion about linear correlation.

Using the data from Exercise 6 “Bear Measurements,” the P-value is 0.000.

Short answer

The p-value equal to 0.000 indicates that there is almost negligible chance of getting the sample correlation measure at least as extreme as the one computed, assuming that there is a linear correlation between chest sizes and weights of bears.

Thus, it can be concluded that there is a linear correlation between chest size and the weight of bears.

Step-by-step solution

Given information

The p-value of the linear correlation between chest size and the weight of bears is equal to 0.000.

Interpret the p-value

The p-value of the linear correlation is the probability value that the computed value of r occurs due to chance, and there is no actual correlation between the two variables.

With reference to the study, the p-value implies that the sample correlation value computed has appeared by chance when it is known that there is no linear correlation between chest sizes and the weights of bears.

State the conclusion

The p-values are compared to the 0.05 measure to state the conclusion.

• A p-value less than or equal to 0.05 indicates that there is a significant linear correlation between the two variables.
• A p-value greater than 0.05 indicates that there is no linear correlation between the two variables.

The p-value for the correlation between chest size and weight is equal to 0.000.

As the p-value is less than 0.05, it can be concluded that there is sufficient evidence to conclude that there exists a linear correlation between the chest size of the bear and the weight of the bear.