Use the given statement to represent a claim. Write its complement and state which is H0 and which is Ha.
p < 0.75
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 H0 is a statement hypothesis that contains a statement of equality, such as ≤ , =, or ≥.
The alternative hypothesis Ha is the complement of the null hypothesis. It is a statement that must be true if H0 is false, and it contain a statement of strict inequality, such as > , ≠, ot <.
The null hypothesis is H0: p ≥ 0.75 because the null hypothesis must contain a statement of equality.
The alternative hypothesis is Ha : p < 0.75 because alternative hypothesis must contain a statement of strict inequality.
Therefore, the null and alternative hypothesis are shown below.
H0 : p ≥ 0.75
Ha: p < 0.75