6
Question 19, 7.3.14-T
HW Score: $38.01\mathrm{\%},11.4$ of Su points
Part 1 of 4
Points: 0 of 1
Sa
Use technology and a t-test to test the claim about the population mean $\mu$ at the given level of significance $\alpha$ using the given sample statistics. Assume the population is normally distributed. Claim: $\mu >72;\alpha =0.01$ Sample statistics: $\overline{x}=75.9,s=3.5,n=23$

What are the null and alternative hypotheses? Choose the correct answer below.
A.
$$\begin{array}{l}{H}_0:\mu \ge 72\\ H_A:\mu <72\end{array}$$
c.
$$\begin{array}{l}{H}_0:\mu \le 72\\ H_A:\mu >72\end{array}$$
B.
$$\begin{array}{l}{H}_0:\mu =72\\ H_A\mu \ne 72\end{array}$$
D.
$$\begin{array}{l}{H}_0:\mu \ne 72\\ H_A:\mu =72\end{array}$$

Step 1 ：The null hypothesis (H0) is a statement of no effect or no difference and is the assumption that any kind of difference or importance you see in a set of data is due to chance. The alternative hypothesis (HA) is a statement of what a statistical hypothesis test is set up to establish.

Step 2 ：In this case, the claim is that the population mean is greater than 72 (μ > 72). This is our alternative hypothesis. The null hypothesis is the statement that the population mean is less than or equal to 72 (μ ≤ 72).

Step 3 ：Therefore, the correct answer should be: $H_0:\mu \le 72$ and $H_A:\mu >72$

Step 4 ：Final Answer: $\boxed{{\displaystyle H_0:\mu \le 72,H_A:\mu >72}}$