A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 519. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 524 with a standard deviation of 118. Complete parts (a) through (d) below. . . . (a) State the null and alternative hypotheses. Ho: H = 519 , H1: H 519 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 524 statistically significantly higher than 519? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = 1.99 (Round to two decimal places as needed.) Find the P-value. The P-value is. (Round to three decimal places as needed.)