A poll conducted in 2013 found that 52% of the U. S. adult Twitter uses get at least some news from Twitter. The standard error for this estimated proportion was 2.4% (percentage points). Construct a 99% confidence interval for the fraction of U. S. adult Twitter uses who get some news on Twitter. Interpret the confidence interval in this context.

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is between 49.6% and 54.4%.

This means that we are 99% sure that the true proportion of U.S. adults Twitter users who get some news on Twitter is between 49.6% and 54.4%.

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound.

These bounds depend on the sample mean and the standard error.

The lower bound is the sample mean subtracted by the standard error.

The upper bound is the sample mean added by the standard error.

In this problem, we have that:

Sample mean of 52%

Standard error of 2.4%

Lower bound: 52 - 2.4 = 49.6%

Upper bound: 52 + 2.4 = 54.4%

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is between 49.6% and 54.4%.

This means that we are 99% sure that the true proportion of U.S. adults Twitter users who get some news on Twitter is between 49.6% and 54.4%.

1e+27

step-by-step explanation:

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step-by-step explanation: