A standardized test has a scale that ranges from 3 to 45. A new type of review course for the test was developed by a training company. The accompanying table shows the scores for nine students before and after taking the review course. Complete parts (a) through (d) below. E Click the icon to view the data table. a. Perform a hypothesis test using a = 0.01 to determine if the average test score is higher for the students after the review course when compared with before the course. Let pd be the population mean of matched-pair differences for the score before the course minus the score after the course. State the null and alternative hypotheses. Choose the correct answer below. OA. H0:p.d=0 O B. H0:pd20 H1:p.d0 H1:pd0 O D. H0:pd0 H1:pd=0 Student Before 25 20 1 8 29 1 7 b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using a = 0.01. The tests atistic is . (Round to two decimal places as needed.) The critical value(s) is(are) . (Use a comma to separate answers as needed. Round to two decimal places as needed.) 34 23 21 28 Interpret he results of the hypothesis test. mNOmJ>mMA Since the test statistic V the critical value(s), V the null hypothesis. There is V evidence that the mean score is higher after the revie 1:. Identify the p-value and interpret the result. pvalue = (Round to three decimal places as needed.) Interpret he result. Since the p-value V the signicance level, V the null hypothesis. There is V evidence that the mean score is higher after the review course. d. What assumptions need to be made in order to perform this procedure? 0 A. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is less than 30. O B. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is less than 30. O C. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is 30 or greater