Question

In: Advanced Math

9. In 2018, 77% of the population of Netflix consumers in the United States had a...

9. 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?

±

3%)

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?

±

3%)

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.

Expert Solution

Colby Messinger answered 2 years ago

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