In a linear regression model, the competing hypotheses take all but which form? A) H₀:$\beta$_j= $\beta$_j₀_andH_A:$\beta$_j $\neq$ $\beta$_j₀ B) H₀:$\beta$_j$\le$ $\beta$_j₀_andH_A:$\beta$_j $\beta$_j₀ C) H₀:$\beta$_{j $\ge$} $\beta$_j₀_andH_A:$\beta$_j } $\beta$_j₀_andH_A:$\beta$_j$\neq$ $\beta$_j₀

Question

In a linear regression model, the competing hypotheses take all but which form? A) H₀:$\beta$_j= $\beta$_j₀_andH_A:$\beta$_j $\neq$ $\beta$_j₀ B) H₀:$\beta$_j$\le$ $\beta$_j₀_andH_A:$\beta$_j > $\beta$_j₀ C) H₀:$\beta$_{j $\ge$} $\beta$_j₀_andH_A:$\beta$_j < $\beta$_j₀ D) H₀:$\beta$_{j >} $\beta$_j₀_andH_A:$\beta$_j$\neq$ $\beta$_j₀

Quizplus · Accepted Answer

In hypothesis testing for linear regression, the null hypothesis (H0) typically states that there is no effect or no difference, such as H0: βj = βj0. The alternative hypothesis (HA) can be two-sided (βj ≠ βj0) or one-sided (βj > βj0 or βj < βj0). Option D incorrectly states the null hypothesis as βj > βj0, which is not a standard form for null hypotheses in this context.

In a Linear Regression Model, the Competing Hypotheses Take All β\betaβ

In a Linear Regression Model, the Competing Hypotheses Take All $\beta$