Nielsen ratings are based on televisions in 7000 households. Melsen estimates that 17,000 people live in these households. Suppose Nelsen reports that American Idol had 65% of the TV audience.Interpret this result with a 95% confidence interval, based on a sample size of 17 ,000 people. Marginofetror=square % (Round to one decimal place as needed.) Confidence interval is from square % to square %

Question

Answer 1

### Margin of error =

### Confidence interval is from

to

Answer 2

## Step 1: Calculate the Margin of Error### The margin of error for a 95% confidence interval is calculated using the formula

, where

is the sample proportion (0.65) and

is the sample size (17000). Substituting the values, we get

. Converting this to a percentage, we get

.## Step 2: Calculate the Confidence Interval### The confidence interval is calculated as

. In this case, it's

. This gives us a range from

to

.

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