Question

According to a February 2020 Pew Research Center survey, The Virtues and Downsides of Online Dating, 30% of U.S. adults say they have used a dating site or app.  The percentage is reported as 28% for Hispanics, 31% for blacks and 29% for whites.  Sample sizes were reported as 663 for Hispanics, 519 for blacks, and 3,321 for whites.

At a 10% level of significance, does the survey indicate any significant difference in use of dating sites or apps among white, black, and Hispanic adults?

Answer 1

The hypothesis being tested is:

H0: There is no significant difference in the use of dating sites or apps among white, black, and Hispanic adults

Ha: There is a significant difference in the use of dating sites or apps among white, black, and Hispanic adults

observed	expected	O - E	(O - E)² / E
663	1432.773	-769.773	413.569
519	1586.284	-1067.284	718.090
3321	1483.943	1837.057	2274.196
614.0454545	614.045	0.000	0.000
5117.045455	5117.045	0.000	3405.855
3405.86	chi-square
3	df
0.00E+00	p-value

The p-value is 0.0000.

Since the p-value (0.0000) is less than the significance level (0.10), we can reject the null hypothesis.

Therefore, we can conclude that there is a significant difference in the use of dating sites or apps among white, black, and Hispanic adults.