Which of the following represents a null hypothesis?
A) $H _ { 1 } : \bar { X } _ { 1 } \bar { X } _ { 2 }$
B) $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$
C) $H _ { 1 : } : \bar { X } _ { 2 } \neq \bar { X } _ { 2 }$
D) $H _ { 0 } : \mu _ { 1 } \mu _ { 2 }$

Question

Which of the following represents a null hypothesis?
A) $H _ { 1 } : \bar { X } _ { 1 } > \bar { X } _ { 2 }$
B) $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$
C) $H _ { 1 : } : \bar { X } _ { 2 } \neq \bar { X } _ { 2 }$
D) $H _ { 0 } : \mu _ { 1 } > \mu _ { 2 }$

Quizplus · Accepted Answer

The null hypothesis always assumes no difference or no effect between the groups being compared. Option B states that the means of the two groups are equal, which is a null hypothesis. The other options all have alternative hypotheses, indicating a difference or effect between the groups.

Which of the Following Represents a Null Hypothesis? A) H1:Xˉ1>Xˉ2H _ { 1 } : \bar { X } _ { 1 } > \bar { X } _ { 2 }H1​:Xˉ1​>Xˉ2​

Which of the Following Represents a Null Hypothesis?
A) $H _ { 1 } : \bar { X } _ { 1 } > \bar { X } _ { 2 }$