To address the instructors' claim regarding the salaries, we need to set up our hypotheses for the hypothesis test. We will test whether the mean salary in Mississippi is significantly lower than the national mean of \$52,328.
Step 1: State the null and alternative hypotheses.
The null hypothesis (H₀) represents the scenario where there is no significant difference in salaries, implying that the mean salary in Mississippi is equal to the national mean salary.
[tex]\[ H_0: \mu = 52,328 \][/tex]
The alternative hypothesis (H₂) represents the claim that needs to be tested: that the mean salary in Mississippi is less than the national mean salary.
[tex]\[ H_2: \mu < 52,328 \][/tex]
Thus, the hypotheses are:
[tex]\[
\begin{array}{l}
H _0: \mu=52,328 \\
H _2: \mu < 52,328
\end{array}
\][/tex]
