If the P- value for an estimated slope coefficient is 0.25, using 95 percent confidence, which of the following is true?
A)You can be 95 percent confident that the true slop coefficient is nonzero.
B)You should accept the alternative hypothesis that the true value of the coefficient is nonzero.
C)You should fail to reject the null hypothesis.
D)You should reject the null hypothesis.

Question

Quizplus · Accepted Answer

A P-value of 0.25 means there is a 25% chance that the estimated slope coefficient occurred by chance. Since this is higher than the significance level of 0.05 for a 95% confidence interval, we fail to reject the null hypothesis that the true slope coefficient is zero. Therefore, the correct choice is C, which means we should fail to reject the null hypothesis.

If the P- Value for an Estimated Slope Coefficient Is