55- to 64-year-olds The survey included 411 adults between the ages of 55 and 64 , and 50 of them said that they had used online dating. If we use this sample to estimate the proportion of all American adults ages 55 to 64 to use online dating, the standard error is 0.016 . Find a \(95 \%\) confidence interval for the proportion of all US adults ages 55 to 64 to use online dating.

Refer to Data 5.2, which describes a survey conducted in July 2015 asking a random sample of American adults whether they had ever used online dating (either an online dating site or a dating app on their cell phone).

Data 5.2:
A survey conducted in July 2015 asked a random sample of n = 2001 American adults whether they had ever used online dating (either an online dating site or a dating app on their cell phone). Overall, 15% said that they had used online dating, showing an increase over the percentage in a similar survey conducted two years earlier. (Two groups in particular showed a change over this two-year period: Usage by 18- to 24-year-olds nearly tripled while usage by 55- to 64-yearolds more than doubled.)