Use the given statement to represent a claim. Write its complement and state which is 
and
Which is 
.
P < 0.75
Solution
Begin by finding the complement of the claim. The complement of a claim is the statement that must be true when the claim is false.
The complement of p < 0.75 is p ≥ 0.75.
The null hypothesis is a statistical hypothesis that contain a statement of equality, such as ≤ , = . or ≥.
The alternative hypothesis is the complement of the null hypothesis. It is a statement that must be true if 
is false, and it contain a statement of strict inequality, such as >, ≠, or <.
The null hypothesis is :p≥0.75 because the null hypothesis must contain statement of equality.
The alternative hypothesis is : p<0.75 because alternative hypothesis must contain a statement of strict inequality.
Therefore, the null and alternative hypotheses are below.
:p ≥ 0.75
:p < 0.75