P-Value

问题如下：

Destiny wants to investigate that whether the selling price of the apple will influence the sales volume of the pear. He expects that the higher the selling price of the apple, the higher the sales volume of the pear if the significant level is 5%. Then he does the regression analysis. Assuming that the coefficient for the selling price of the apple is b1, the result shows that the p-value for b1 is 0.045. Which of the following is most likely correct?

选项：

The H0 is b1≤0 and the result rejects H0.

The H0 is b1≤0 and the result does not reject H0.

The H0 is b1≥0 and the result rejects H0.

解释：

A is correct.

考点: Regression Coefficient: T-test.

解析: Destiny希望得到的结果是，苹果的价格越高，梨的销量越高，即b1＞0。我们通常把想要拒绝的放在原假设，所以原假设H0应该是b1≤0。通过回归分析，我们得到P-value为0.045小于α(0.05),所以我们应该拒绝原假设，选择A选项。