Q3 · 2025 · Technology-activeSimple familiar1 mark
QUESTION 3
A streaming service surveyed a random sample of 100 customers, and 60 customers said that they prefer to watch movies rather than miniseries.
Based on these results, the 95% confidence interval for the proportion of customers who prefer to watch movies was .
Which statement shows the correct interpretation of this outcome?
(A)
The streaming service can be 95% confident that the proportion of customers who prefer to watch movies is between 50% and 70%.
(B)
There is a probability between 50% and 70% that most customers prefer to watch movies 95% of the time.
(C)
60% of the sampled customers prefer to watch movies between 50% and 70% of the time.
(D)
60 customers in the random sample prefer to watch movies 95% of the time.
WORKED SOLUTION
1 markAnswer A
ANSWER
A — The streaming service can be 95% confident that the proportion of customers who prefer to watch movies is between 50% and 70%.
Worked solution
A confidence interval concerns the unknown population proportion. The correct interpretation is that the service can be 95% confident the population proportion lies between 0.5 and 0.7; option A.
Selects option A.
Worked explanation by QCE Vault; correct option verified against the QCAA answer key.
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