redbenji1687
18.03.2021 •
Mathematics
1. A poll conducted in 2018 found that 54% of US adult Twitter users get at least some news on Twitter. The standard error for this estimate was 2.4%, and a normal distribution can be used to model the sample proportion. Construct a 99% confidence interval for the fraction of US adult Twitter users who get some news on Twitter, and interpret the confidence interval in context.
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Ответ:
The 99% confidence interval for the fraction of US adult Twitter users who get some news on Twitter is (0.4872, 0.6018). It means that we are 99% sure that the true proportion of US adult Twitter users who get some news on Twitter is between 0.4872 and 0.6018.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of
, and s is the standard error.
54% of US adult Twitter users get at least some news on Twitter.
This means that
The standard error for this estimate was 2.4%
This means that
99% confidence level
So
, z is the value of Z that has a pvalue of 
, so 
The lower bound is:
The upper bound is:
The 99% confidence interval for the fraction of US adult Twitter users who get some news on Twitter is (0.4872, 0.6018). It means that we are 99% sure that the true proportion of US adult Twitter users who get some news on Twitter is between 0.4872 and 0.6018.
Ответ:
The required arrangement of volumes in increasing order will be
a) d) c) b)
Explanation:
Since we have given that
cone with different diameters and heights all we need to do is to find the volume of cones :
As we know the formula for volume of cone which is given by
a) Diameter = 20 units
Radius = 10 units
Height = 12 units
So, Volume is given by
b) Diameter = 18 units
Radius = 9 units
Height = 10 units
So, Volume is given by
c) Radius = 10 units
Height = 9 units
So, Volume is given by
d) Radius = 11 units
Height = 9 units
So, Volume is given by
So, the required arrangement of volumes in increasing order will be
a) d) c) b)