A survey conducted in July 2015 asked 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). College-Educated or Not? The survey also asked participants for their level of education, and we wish to estimate the difference in the proportion to use online dating between those with a college degree and those with a high school degree or less. The results are shown in the two-way table below.     College High School Total Yes 157 70 227 No 666 565 1231 Total 823 635 1458 Table 1: Have you ever used an online dating site or a dating app?         (a) What proportion of college graduates answered yes when asked if they had ever used online dating? What proportion of those with a high school degree or less said yes? What is the sample difference in proportions? Let pC and pH be the proportion of college graduates using online dating and the proportion of high school graduates using online dating, respectively. Round your answers to three decimal places. p^C= p^H= p^C-p^H=             (b) Use the fact that the standard error for the estimate is 0.019 to find a 90% confidence interval for the population difference in proportions. Round your answers to three decimal places. The 90% confidence interval is to .

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.