Mateus's bank issued an advertisement saying that 90% 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 80 of the bank's customers, and found that only 80% were satisfied. Let's test the hypothesis that the actual percentage of satisfied customers is 90% versus the alternative that the actual percentage is lower than that. The table below sums up the results of 1000 simulations, each simulating a sample of 80 customers, assuming there are 90% satisfied customers. According to the simulations, what is the probability of getting a sample with 80% satisfied customers or less?

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Mateus's bank issued an advertisement saying that 90% 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 80 of the bank's customers, and found that only 80% were satisfied.
Let's test the hypothesis that the actual percentage of satisfied customers is 90% versus the alternative
that the actual percentage is lower than that.
The table below sums up the results of 1000 simulations, each simulating a sample of 80 customers,
assuming there are 90% satisfied customers.
According to the simulations, what is the probability of getting a sample with 80% satisfied customers or
less?
Let's agree that if the observed outcome has a probability less than 1% under the tested hypothesis, we
will reject the hypothesis.
What should we conclude regarding the hypothesis?
Choose 1 answer:
We cannot reject the hypothesis.
We should reject the hypothesis.
Measured % of satisfied customers
Frequency
Transcribed Image Text:Mateus's bank issued an advertisement saying that 90% 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 80 of the bank's customers, and found that only 80% were satisfied. Let's test the hypothesis that the actual percentage of satisfied customers is 90% versus the alternative that the actual percentage is lower than that. The table below sums up the results of 1000 simulations, each simulating a sample of 80 customers, assuming there are 90% satisfied customers. According to the simulations, what is the probability of getting a sample with 80% satisfied customers or less? Let's agree that if the observed outcome has a probability less than 1% under the tested hypothesis, we will reject the hypothesis. What should we conclude regarding the hypothesis? Choose 1 answer: We cannot reject the hypothesis. We should reject the hypothesis. Measured % of satisfied customers Frequency
What should we conclude regarding the hypothesis?
Choose 1 answer:
We cannot reject the hypothesis.
B.
We should reject the hypothesis.
Measured % of satisfied customers
Frequency
80
82.5
24
85
72
87.5
181
90
281
92.5
272
95
136
97.5
27
100
2)
Transcribed Image Text:What should we conclude regarding the hypothesis? Choose 1 answer: We cannot reject the hypothesis. B. We should reject the hypothesis. Measured % of satisfied customers Frequency 80 82.5 24 85 72 87.5 181 90 281 92.5 272 95 136 97.5 27 100 2)
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