Chapter 10.2, Problem 27AYU

NW Small-Sample Hypothesis Test Professors Honey Kirk and Diane Lerma of Palo Alto College developed a “learning community curriculum that blended the developmental mathematics and the reading curriculum with a structured emphasis on study skills.” In a typical developmental mathematics course at Palo Alto College, 50% of the students complete the course with a letter grade of A, B. or C. In the experimental course, of the 16 students enrolled, 11 completed the course with a letter grade of A, B, or C. Do you believe the experimental course was effective at the α = 0.05 level of significance?

1. a. State the appropriate null and alternative hypotheses.
2. b. Verily that the normal model may not be used to estimate the P-value.
3. c. Explain why this is a binomial experiment.
4. d. Determine the P-value using the binomial probability distribution. State your conclusion to the hypothesis test.
5. e. Suppose the course is taught with 48 students and 33 complete the course with a letter grade of A, B or C. Verify the normal model may now be used to estimate the P-value.
6. f. Use the normal model to obtain and interpret the P-value. State your conclusion to the hypothesis test.
7. g. Explain the role that sample size plays in the ability to reject statements in the null hypothesis.