how do you do longhand using the P-value method

An insurance agent says the standard deviation of the total hospital charges for patients involved in a crash in which the vehicle struck a construction barricade is less than $3100. A random sample of 28 total hospital charges for patients involved in this type of crash has a standard deviation of $4000. At = 0.10 can you support the agent's claim? Use the P-value method to test the claim. Identify the null and alternative hypotheses. Let o be the population standard deviation. O A. H: 5 > $3100 O B. H: g $3100 He : G