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 .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Chapter 5, Section 2, Exercise 051

More Information From the Online Dating Survey

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

227

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 .

(c) Is it plausible that there is no difference between college graduates and high school graduates in how likely they are to use online dating? Use the confidence interval from part (b) to answer.

Yes

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