Mathematics
Mathematics, 10.05.2021 20:50, jocejay83681

Ilya's bank issued an advertisement saying that 90%90\%90%90, percent of its customers are satisfied with the bank’s services. Since he himself wasn't very satisfied, he suspected the ad is false. He surveyed a random sample of 80808080 of the bank’s customers, and found that only 85%85\%85%85, percent were satisfied. Let's test the hypothesis that the actual percentage of satisfied customers is 90%90\%90%90, percent versus the alternative that the actual percentage is lower than that.
The table below sums up the results of 1000100010001000 simulations, each simulating a sample of 80808080 customers, assuming there are 90%90\%90%90, percent satisfied customers.
According to the simulations, what is the probability of getting a sample with 85%85\%85%85, percent satisfied customers or less


Ilya's bank issued an advertisement saying that 90%90\%90%90, percent of its customers are satisfie

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