1. (Hypothesis Testing) Dr. Ayati claims that 90% of her students are satisfied with the data science course. Jose was not very satisfied, and he suspected the student evaluation is false. He surveyed a random sample of 80 of Dr. Ayati's students and found that only 80% were satisfied. He also run 1000 simulation, each simulating a sample of 80 students assuming there are 90% satisfied students. % of satisfied students Frequency 80 82.5 24 85 72 87.5 181 90 281 92.5 272 95 136 97.5 27 100 (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% satisfied students or less? (c) What should Jose conclude regarding the hypothesis?

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1.
(Hypothesis Testing) Dr. Ayati claims that 90% of her students are satisfied with the
data science course. Jose was not very satisfied, and he suspected the student evaluation is
false. He surveyed a random sample of 80 of Dr. Ayati's students and found that only 80% were
satisfied. He also run 1000 simulation, each simulating a sample of 80 students assuming there
are 90% satisfied students.
% of satisfied students Frequency
80
5
82.5
24
85
72
87.5
181
90
281
92.5
272
95
136
97.5
27
100
2
(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% satisfied
students or less?
(c) What should Jose conclude regarding the hypothesis?
Transcribed Image Text:1. (Hypothesis Testing) Dr. Ayati claims that 90% of her students are satisfied with the data science course. Jose was not very satisfied, and he suspected the student evaluation is false. He surveyed a random sample of 80 of Dr. Ayati's students and found that only 80% were satisfied. He also run 1000 simulation, each simulating a sample of 80 students assuming there are 90% satisfied students. % of satisfied students Frequency 80 5 82.5 24 85 72 87.5 181 90 281 92.5 272 95 136 97.5 27 100 2 (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% satisfied students or less? (c) What should Jose conclude regarding the hypothesis?
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