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 523. 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 528 with a standard deviation of 115. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Ho: H1 (b) Test the hypothesis at the a=0.10 level of significance. Is a mean math score of 528 statistically significantly higher than 523? Conduct a hypothesis test using the P-value approach. Find the test statistic. to= (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? OA. No, because the P-value is less than a = 0.10. OB. Yes, because the P-value is greater than a = 0.10. OC. Yes, because the P-value is less than a=0.10. OD. No, because the P-value is greater than a = 0.10. (c) Do you think that a mean math score of 528 versus 523 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance? OA. Yes, because every increase in score is practically significant. B. No, because the score became only 0.96% greater. You because the score became more than 0.96% greater.