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Answer:
, that is, option C
Step-by-step explanation:
From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service.
This means that the proportions are:
Subtraction of proportions:
In the confidence interval, we subtract the proportions. So:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
Standard error:
For a subtraction, as the standard deviation of the distribution is the square root of the sum of the variances, we have that:
90% confidence level
So , z is the value of Z that has a pvalue of
, so
.
So the confidence interval is:
, that is, option C