Is it possible for the following statements to be the null hypothesis? Explain why or why not. for each statement.
a. $\mu \leq 8$
b. $p> 0.63$
c. $\mu \neq 39$

Step 1 ：The null hypothesis is a general statement or default position that there is no relationship between two measured phenomena, or no association among groups. It is often symbolized as H0. The null hypothesis is typically a hypothesis of equality, where the population mean or proportion is equal to a specific value, not less than, greater than, or not equal to a specific value.

Step 2 ：a. \(\mu \leq 8\): This cannot be a null hypothesis because it is not a statement of equality. It is a statement of inequality (less than or equal to).

Step 3 ：b. \(p>0.63\): This cannot be a null hypothesis because it is not a statement of equality. It is a statement of inequality (greater than).

Step 4 ：c. \(\mu \neq 39\): This cannot be a null hypothesis because it is not a statement of equality. It is a statement of inequality (not equal to).

Step 5 ：None of the statements a. \(\mu \leq 8\), b. \(p>0.63\), and c. \(\mu \neq 39\) can be the null hypothesis because they are not statements of equality. They are statements of inequality.

Step 6 ：\(\boxed{\text{Final Answer: None of the statements a. } \mu \leq 8, \text{ b. } p>0.63, \text{ and c. } \mu \neq 39 \text{ can be the null hypothesis because they are not statements of equality. They are statements of inequality.}}\)