Test Prep. A GRE prep company advertises that average score improvement in GRE scores of their students is equal to 50 points. A consumer group believes this is incorrect and randomly samples 40 students who have taken the GRE prep course from this company. They find that the sample has an average improvement of 30 points with a standard deviation of 25 points. Evaluate the consumer groups belief that the company's advertised score improvement is incorrect. Use a 5% level of significance. (a) Write the hypotheses for the test: O Ho: H = 50 Ha: < 50 Ho: = 30 Ha: 30 Ho: = 50 Ha: 50 O Ho: H=30 Ha: < 30 O Ho: H = 30 Ha: > 30 Ho: = 50 Ha: > 50 (b) Compute the p-value for the test: p = (round to four decimal places) (c) What is the final conclusion? There is not sufficient evidence to support the average score increase in GRE is not 50 points. There is not sufficient evidence to reject the average score increase in GRE is not 50 points. There is sufficient evidence to support the average score increase in GRE is not 50 points.