Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 56% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 14 students enrolled, 11 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a=0.025 level of significance? Complete parts (a) through (g). (a) State the appropriate null and alternative hypotheses. Ho: versus H (Type integers or decimals. Do not round.) (b) Verify that the normal model may not be used to estimate the P-value. Because npo (1-po) [ = 10, the normal model (Round to one decimal place as needed.) (c) Explain why this is a binomial experiment. There is a number of trials with be used to approximate the P-value. The trials independent and the probability of success is fixed at for each trial. (Type an integer or a decimal. Do not round.) (d) Determine the P-value using the binomial probability distribution. State your conclusion to the hypothesis test. First determine the P-value. P-value= (Round to three decimal places as needed.) Is there sufficient evidence to support the research that the experimental course is effective? OA. No, do not reject the null hypothesis because the P-value is greater than a. There is insufficient evidence to conclude that the experimental course is effective. OB. Yes, reject the null hypothesis because the P-value is less than a. There is sufficient evidence to conclude that the experimental course is effective. OC. No, reject the null hypothesis because the P-value is less than a. There is insufficient evidence to conclude that the experimental course is effective. OD. Yes, do not reject the null hypothesis because the P-value is greater than a. There is sufficient evidence to conclude that the experimental course is effective. (e) Suppose the course is taught with 42 students and 33 complete the course with a letter grade of A, B, or C. Verify whether the normal model may now be used to estimate the P-value. Because npo (1-Po) 10, the sample size is 5% of the population size, and the sample the normal model be used to approximate the P-value. (Round to one decimal place as needed.) (f) Use the normal model to obtain and interpret the P-value. State your conclusion to the hypothesis test. First find the test statistic, zo. Zo= (Round to two decimal places as needed.) Now determine the P-value.