Community college instructors' salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The national mean is $59,739$59,739, but instructors from Mississippi claim that the mean in their state is significantly lower. They survey a simple random sample of 4646 colleges in the state and calculate a mean salary of $55,618$55,618 with a standard deviation of $10,891$10,891. Test the instructors' claim at the 0.100.10 level of significance.

Step1of3:

State the null and alternative hypotheses for the test. Fill in the blank below.

Step 2 of 3:

Compute the value of the test statistic. Round your answer to three decimal places.

Step 3 of 3: Draw a conclusion and interpret the decision.