How much of the circle is shaded write your answer as a fraction in the simplest form
1 answer:
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First, we are going to want to plug in the values we are given. In this case, we will end up with the equation:
From here, we can solve the equation to find :
- Apply the commutative property to rearrange the terms on the right-side of the equation to make the distributive property more apparent
- Apply the distributive property
- Subtract 8 from both sides of the equation
- Divide both sides of the equation by -2
We have found that c = 1.
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).