Question

Which of the following statements are consistent with the data for Fantasy Tech? Check all that apply. The probability that the true beta is equal to zero is virtually nonexistent. There is a 95% probability that the true beta is between –0.02 and 0.02. The estimate for the beta for Fantasy Tech is precise. There is a 95% probability that the true beta is between 1.32 and 2.01.

Answer 1

Answer:

The correct option is (D).

Step-by-step explanation:

The Complete question is:

The 95% confidence interval bound for the slope coefficient for Fantasy Tech is (1.32, 2.01) and for the intercept is (-0.02, 0.02). Which of the following statements are consistent with the data for Fantasy Tech? Check all that apply. The probability that the true beta is equal to zero is virtually nonexistent. There is a 95% probability that the true beta is between –0.02 and 0.02. The estimate for the beta for Fantasy Tech is precise. There is a 95% probability that the true beta is between 1.32 and 2.01.

Solution:

The 95% confidence interval bound for the slope coefficient for Fantasy Tech is (1.32, 2.01).

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

This implies that there is 95% or 0.95 probability that the true value of β, for the Fantasy Tech. lies between 1.32 and 2.01.

Thus, the correct option is (D).