If the null hypothesis states H0 : E(Y)= µY,0,then a two-sided alternative hypothesis is A)H1 : E( Y)≠ µY,0. B)H1 : E( Y)≈ µY,0. C)H1 : µY,0.

Question

If the null hypothesis states H0 : E(Y)= µY,0,then a two-sided alternative hypothesis is
A)H1 : E(
Y)≠ µY,0. 
B)H1 : E(
Y)≈ µY,0. 
C)H1 : < µY,0. 
D)H1 : E(
Y)> µY,0.

Quizplus · Accepted Answer

A two-sided alternative hypothesis includes the possibility that the true population mean could be either greater than or less than the hypothesized value, so option A is the best choice. Option B uses the symbol for "approximately equal to," which is not appropriate for a hypothesis test. Option C is not a valid alternative hypothesis. Option D describes a one-sided alternative hypothesis where we are only considering the possibility of the mean being greater than the hypothesized value.

If the Null Hypothesis States H0 : E(Y)= µY,0,then a Two-Sided