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2 answers:
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9514 1404 393
Answer:
see below
Step-by-step explanation:
The area of a square is the square of the side length, as shown in the given table.
The area of a circle is pi (π) times the square of the radius. For a radius that is the same as the side length of a square, the circle will have an area π times as large.
For an input of 3, the square area function outputs 9.
For an input of 3, the circle area function outputs 9π, about 28.3.
Answer:
The 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion <em>P</em> is:
The information provided is:
<em>x</em> = number of students who responded as"yes" = 70
<em>n</em> = sample size = 200
Confidence level = 95%
The formula to compute the sample proportion is:
The R codes for the construction of the 95% confidence interval is:
> x=70
> n=200
> p=x/n
> p
[1] 0.35
> s=sqrt((p*(1-p))/n)
> s
[1] 0.03372684
> E=qnorm(0.975)*s
> lower=p-E
> upper=p+E
> lower
[1] 0.2838966
> upper
[1] 0.4161034
Thus, the 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).