One of the questions in the Pew Internet & American Life Project asked adults if

Question

One of the questions in the Pew Internet & American Life Project asked adults if they used the Internet at least occasionally (Pew website, October 23, 2012). The results showed that 454 out of 478 adults aged 18 - 29 answered Yes; 741 out of 833 adults aged 30 – 49 answered Yes; 1058 out of 1644 adults aged 50 and over answered Yes. Use z-table.

Round your answers to four decimal places.

a. Develop a point estimate of the proportion of adults aged 18 – 29 who use the Internet.

b. Develop a point estimate of the proportion of adults aged 30 – 49 who use the Internet.

c. Develop a point estimate of the proportion of adults aged 50 and over who use the Internet.

d. Comment on any relationship between age and internet use that seems apparent.
- Select your answer -Younger adults are more likely to use the Internet.Younger adults are less likely to use the Internet.Item 4

e. Suppose your target population of interest is that of all adults (18 years of age and over). Develop an estimate of the proportion of that population who use the Internet.

Explanation / Answer

Solution:

Assumptions: 1-Since no confidence level is mentioned we don not take it into account for calculation

2- x- outcome, n- total population

A- Solution is as follows:

Here x=454, n=478

so Point of estimation p^= 454/478 = 0.9497

Thus we can say 94.97% young adults aged 18-29, have used the Internet ocassionally.

B: Solution is as follows;

Here x=741, n=833

so Point of estimation p^= 741/833 = 0.8895

   Thus we can say 88.95% young adults aged 30-49, have used the Internet ocassionally.

C: Solution is as follows;

Here x=1058, n=1644

so Point of estimation p^= 1058/1644= 0.6435

   Thus we can say 64.35% young adults aged 50 & above, have used the Internet ocassionally.

D: Since we can see point of estimate is highest in adults aged 18-29, since we can say that "Younger adults are more likely to use the Internet".

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