Comparing Males to Females In the survey, \(17 \%\) of the men said they had used online dating, while \(14 \%\) of the women said they had.

(a) Find a \(99 \%\) confidence interval for the difference in the proportion saying they used online dating, between men and women. The standard error of the estimate is 0.016 .

(b) Is it plausible that there is no difference between men and women in how likely they are to use online dating? Use the confidence interval from part

(a) to answer and explain your reasoning.

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.)