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, 49%of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 17 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the α=0.05 level of significance? Complete parts (a) through (g). 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,49% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 17 students enrolled, 12 completed the course with a lettergrade of A, B, or C. Is the experimental course effective at the a = 0.05 level of significance? Complete parts (a) through (g).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.D. No, reject the null hypothesis because the P-value is less than o. There is insufficient evidence to conclude that the experimental course is effective.(e) Suppose the course is taught with 51 students and 36 complete the course with a letter grade of A, B, or C. Verify whether the normal model may now be used toestimate the P-value.Because npo (1- Po) = 10, the sample size is5% of the population size, and the sample= 12.7less thancan be reasonably assumed to be random,thenormal modelmaybe 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.)=

Question

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, 49​%of the students complete the course with a letter grade of​ A, B, or C. In the experimental​ course, of the 17 students​ enrolled, 12 completed the course with a letter grade of​ A, B, or C. Is the experimental course effective at the α=0.05 level of​ significance? Complete parts ​(a) through​ (g). 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,49% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 17 students enrolled, 12 completed the course with a lettergrade of A, B, or C. Is the experimental course effective at the a = 0.05 level of significance? Complete parts (a) through (g).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.D. No, reject the null hypothesis because the P-value is less than o. There is insufficient evidence to conclude that the experimental course is effective.(e) Suppose the course is taught with 51 students and 36 complete the course with a letter grade of A, B, or C. Verify whether the normal model may now be used toestimate the P-value.Because npo (1- Po) => 10, the sample size is5% of the population size, and the sample= 12.7less thancan be reasonably assumed to be random,thenormal modelmaybe 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.)=

Accepted Answer

We have given that 
Sample size n =17
Favorable cases x =12
Sample proportion p^=x/n 
=12/17
=0.7059…

(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.)