Question

An alternative hypothesis in a one-sample Z test could be represented as:

H₁: X > µ

H₀: X > µ

H₁: X = µ

H₀: X < µ

Answer 1

Here the answer is,

In Testing of Hypothesis, The Null hypothesis is denoted by   i.e.   and  Alternative Hypothesis is denoted by   .

In one sample z test ,The alternative hypothesis ( ) is one sided and left tail test then the alternative hypothesis is denoted by

AND the alternative hypothesis ( ) is one sided and right tailed test then the alternative hypothesis is denoted by

  

and the alternative hypothesis ( ) is two tailed alternative then the alternative hypothesis is denoted by