If the null hypothesis states H₀ : E(Y)= µ_Y,0, then a two-sided alternative hypothesis is A)H₁ : E(Y)? µ_Y,0. B)H₁ : E(Y)? µ_Y,0. C)H₁ : $ { \mu }_Y$ µ_Y,0.

Question

If the null hypothesis states H₀ : E(Y)= µ_Y,0, then a two-sided alternative hypothesis is A)H₁ : E(Y)? µ_Y,0. B)H₁ : E(Y)? µ_Y,0. C)H₁ : $ { \mu }_Y$ < µ_Y,0. D)H₁ : E(Y)> µ_Y,0.

Quizplus · Accepted Answer

A two-sided alternative hypothesis is needed because we are not making a specific directional prediction. The null hypothesis states that the expected value of Y is equal to µY,0, so the alternative hypothesis must state that the expected value of Y is not equal to µY,0. Therefore, the correct choice is A.

If the Null Hypothesis States H0 : E(Y)= µY,0, Then μY { \mu }_YμY​

If the Null Hypothesis States H₀ : E(Y)= µ_Y,0, Then ${ \mu }_Y$