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 x 0 025 level of significance Complete parts a through g a State the appropriate null and alternative hypotheses Ho V 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 Round to one decimal place as needed c Explain why this is a binomial experiment 10 the normal model be used to approximate the P value There is a number of trials with independent and the probability of success is fixed at 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 for each trial The trials O A 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 10 the sample size is O D 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 the normal model 5 of the population size and the sample 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