cecem58
25.09.2019 •
Mathematics
The cbs’ television show 60 minutes has been successful for many years. that show recently had a share of 20, which means that among the tv sets in use at the time the show aired, 20% were tuned to 60 minutes. assume that this is based on a sample size of 5000 – which is a typical sample size for this kind of experiments. construct a 95% confidence interval for the true proportion of tv sets that are tuned to 60 minutes.
Solved
Show answers
More tips
- C Computers and Internet What Are Peers and Seeds in Torrenting?...
- H Health and Medicine 10 Simple Techniques on How to Boost Your Mood...
- G Goods and services How to Choose the Right High Chair for Your Baby?...
- S Style and Beauty Learn how to tie a keffiyeh on your head like a pro...
- S Style and Beauty How to braid friendship bracelets?...
Answers on questions: Mathematics
- M Mathematics Asquare room has an area of 400 square feet. what is the height,in feet of the room...
- M Mathematics [tex]6.25 \times 1.4[/tex] step by step...
- H History In early rome what were the two orders or groups people were divided...
- E English Should humans colonize mars? Explain why?...
- H History What do modern languages in the subcontinent of India have to do with Sanskrit?...
Ответ:
We are asked for the confidence interval of the proportion, therefore we make use of the proportion distribution formulas.
Let us say that:
p = probability of success = 20% = 0.20
q = probability of failure = 1- p = 0.80
n = number of samples = 5000
Now we use the confidence interval formula for proportion:
Confidence interval = p ± z sqrt (p q / n)
We can find for the value of z at the specified confidence level of 95% using the standard probability tables:
z = 1.96
Substituting the values:
Confidence interval = 0.20 ± (1.96) sqrt (0.20 * 0.80 / 5000)
Confidence interval = 0.20 ± 0.0111
Confidence interval = 0.189, 0.211
0.189 < p < 0.211
or
0.19 < p < 0.21
Ответ: