Question

Has the percentage of newspaper readers changed over time?  

Year	2000	2010	2020	Total
Yes	478	419	411	1308
No	300	297	315	912
Total	778	716	726	2220

Use the table above of sample data to answer the following questions. For each question, find both the FRACTION (use the fraction button in the equation editor) and the percentage rounded to the nearest tenth of a percent (one decimal place):

a. What percentage of those surveyed read the newspaper?

b. What percentage of those surveyed were in the 2000 survey?

c. What percentage of those surveyed in 2020 reported that they read the newspaper?

d. What percentage of those who read the newspaper were surveyed in 2010?

Using your results from the question, do you think that newspaper readership is independent of survey year? Use statistical reasoning, citing your results from the previous question or finding additional calculations, to back up your opinion.

Answer 1

a) Percentage of those surveyed read the newspaper= 1308/2220 = 109/185 = 0.589 = 58.9%

b) Percentage of those surveyed were in the 2000 survey = 778/2220 = 389/1110 = 0.35= 35%

c) Percentage of those surveyed in 2020 read newspaper = 411 / 726 = 137/242 =0.566 = 56.6%

d) Percnetage of those who read newspaper were surveyed in 2010 = 419/ 1308 = 0.32 = 32%

For newspaper readership and survey year independency

Percentage of people who read newpaper in 2000 = 478/ 2220 =0.215

Percentage of people read newspaper = 0.589 ( part a)

Percentage of people in 2000 survey - 0.35 ( part b)

Since ;

Percentage of people who read newpaper in 2000   Percentage of people read newspape *  Percentage of people in 2000 survey

So , we can say that newspaper readership is not independent of the survey year