Question

In , the Pew Internet & American Life Project asked teens aged to several questions about their attitudes toward social media. The results showed that say social media makes them feel more connected to what is going on in their friends' lives; say social media helps them interact with a more diverse group of people; and feel pressure to post content that will get a lot of likes and comments.
Round your answers to four decimal places.
a. Develop a point estimate of the proportion of teens aged to who say social media makes them feel more connected to what is going on in their friends' lives.
b. Develop a point estimate of the proportion of teens aged to who say social media helps them interact with a more diverse group of people.
c. Develop a point estimate of the proportion of teens aged to who feel pressure to post content that will get a lot of likes and comments.

Answer 1

Complete Question

The  complete question is shown on the first uploaded image

Answer:

a

$\^ p_1 = 0.8102$

b

$\^ p_2 = 0.6904$

c

$\^ p_3 = 0.3701$

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  743

    The number that said social media makes them feel more connected  to what is going on in their friends' lives is  k =  602

   The number that said social  media helps them interact with a more diverse group of people is  y =  513

   The  number that said feel pressure to post content that will get a lot of likes and comments is  c  =  275

Generally a point estimate of the proportion of teens aged 13 to 17  who say social media makes them feel more connected to what is going on in their friends' lives is mathematically represented as

        $\^ p_1 = \frac{k}{n}$

=>      $\^ p_1 = \frac{602}{743 }$\

=>      $\^ p_1 = 0.8102$

Generally a point estimate of the proportion of teens aged 13 to 17  who say social media helps them interact with a more diverse group of people is mathematically represented as

        $\^ p_2 = \frac{k}{n}$

=>      $\^ p_2 = \frac{513}{743 }$\

=>      $\^ p_2 = 0.6904$

Generally a point estimate of the proportion of teens aged 13 to 17   who feel pressure to post content that will get a lot of likes and comments is mathematically represented as

        $\^ p_3 = \frac{k}{n}$

=>      $\^ p_3 = \frac{275}{743 }$

=>      $\^ p_3 = 0.3701$