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In 2018, 77% of the population of Netflix consumers in the United States had a positive opinion of the service. (remember, a percentage is a proportion x 100, so the population proportion here will be the 77/100)
a) What is the standard error of the sample proportion for a sample of 100 Netflix consumers? and of 200 Netflix consumers? (to 5 decimal places)
b) What is the probability that a random sample of 100 Netflix consumers will have a sample proportion within 0.03 (of the population proportion?
c) What is the probability that a random sample of 200 Netflix consumers will have a sample proportion within 0.03 (of the population proportion?
d) When sample size increases, we can see that the probability of getting a sample proportion close to the true population proportion goes ___________ (up/down). So, as the sample size increases, point estimators are likely to become _____________ (more/less) accurate.
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