# How do you calculate a 95% confidence interval without the mean?

##
In 2007, the Pew Research Center assessed public opinion of the challenges of motherhood. Over a 4-week period, they surveyed 2020 Americans. They found 60% of respondents felt that it was more difficult to be a mother today than it was 20 or 30 years ago.

How do you calculate the 95% confidence interval to estimate the percentage of Americans who believe that it is more difficult to be a mother today than it was 20 or 30 years ago?

In 2007, the Pew Research Center assessed public opinion of the challenges of motherhood. Over a 4-week period, they surveyed 2020 Americans. They found 60% of respondents felt that it was more difficult to be a mother today than it was 20 or 30 years ago.

How do you calculate the 95% confidence interval to estimate the percentage of Americans who believe that it is more difficult to be a mother today than it was 20 or 30 years ago?

##### 1 Answer

#### Explanation:

you can do confidence intervals using proportions. You can use normal distribution if the amount of items is greater than 10 for both outcomes. Variance is estimated as