A social media company conducted a survey of n = 400 randomly selected users to see if they prefer the new interface. The survey results showed that 40% of the sample preferred the new design. Based on this, a 90% confidence interval was calculated as (0.35, 0.45).
Which of the following is the most accurate interpretation of this interval?

Question

A social media company conducted a survey of n = 400 randomly selected users to see if they prefer the new interface. The survey results showed that 40% of the sample preferred the new design. Based on this, a 90% confidence interval was calculated as (0.35, 0.45).

Which of the following is the most accurate interpretation of this interval?

Answer

If we repeated this survey many times, 90% of the users in the population would eventually support the new design.

Answer

90% of the population proportions lie between 0.35 and 0.45.

Answer

In 90% of all future samples of the same size, the sample proportion will be 0.40.

Answer

We are 90% confident that the interval (0.35, 0.45) captures the true proportion of all users who prefer the new design.

Crowdly

A social media company conducted a survey of n = 400 randomly selected users ...

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