1.(Hypothesis Testing) Dr. Ayati claims that 90% of her students are satisfied with thedata science course. Jose was not very satisfied, and he suspected the student evaluation isfalse. He surveyed a random sample of 80 of Dr. Ayati's students and found that only 80% weresatisfied. He also run 1000 simulation, each simulating a sample of 80 students assuming thereare 90% satisfied students.% of satisfied students Frequency80582.524857287.51819028192.52729513697.5271002(a) What is the null hypothesis and alternative hypothesis Jose is testing?(b) According to the simulation, what is the probability of getting a sample with 80% satisfiedstudents or less?(c) What should Jose conclude regarding the hypothesis?

We are asked to answer the following questions based on the given data a) Null and alternative hypotheses of Joe Null hypothesis i.e., 80% of the students are satisfied with the course or in other words, the student evaluation is false Alternative hypothesis i.e., the proportion of students who are satisfied with the course is not 80% or in other words, the student evaluation is correct b) What is the probability of getting a sample with 80% satisfied students or less based on the simulation In the simulation, the frequency represents the number of samples containing the corresponding % of satisfied students Based on the simulation we have 5 samples with 80% satisfied students or less out of 1000 samples So probability=5/1000=0.005 Hence according to the simulation, the probability of getting a sample with 80% satisfied students or less is 0.005 c) Conclusion of Jose Jose should reject the null hypothesis since the probability of getting a sample with 80% satisfied students or less is very small(0.005) Hence he should conclude that the student evaluation is correct. Ho: p=0.8 H: p=0.8 = P