Free Two sample tests for proportions Practice Problems • Learn To Be

In recent years, the use of social media platforms as a news source appears to be on the rise. In particular, more and more Americans tend to get news on the social media site Facebook. According to surveys conducted by the Pew Research Center,

44\%

of U.S. adults got news on Facebook in

2016

as compared to

30\%

in

2013

. These results were based on random samples of

4{,}654

and

5{,}178

U.S. adults from the years

2016

and

2013

, respectively.

Which of the following is an appropriate set of hypotheses to test whether the use of Facebook as a news source among U.S. adults is on the rise?

Take

p_{16}

and

p_{13}

to be the proportion of all U.S. adults in

2016

and

2013

who got news on Facebook.

Choose 1 answer:

A
$H_o: p_{16}-p_{13}=0\quad\text{versus}\quad H_a:p_{16}-p_{13}\neq0$
B
$H_o: p_{16}-p_{13}=0\quad\text{versus}\quad H_a:p_{16}-p_{13}>0$
C
$H_o: p_{16}-p_{13}=0\quad\text{versus}\quad H_a:p_{16}-p_{13}<0$
D
$H_o: p_{16}-p_{13}>0\quad\text{versus}\quad H_a:p_{16}-p_{13}=0$
E
$H_o: p_{16}-p_{13}\neq0\quad\text{versus}\quad H_a:p_{16}-p_{13}=0$

Two sample tests for proportions

Ask AI