4. A college admissions officer states that the average ACT score for incoming freshmen at her school is no more than 22 and that standard deviation for ACT scores is 4 points. A sample of 36 incoming freshmen reveals an average ACT score of 23.5. State the null and alternative hypotheses concerning this claim and test the hypothesis at the 99% confidence level using the P-value. Is the officer's statement correct, based on this sample information and your test