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Akimi4 [234]
3 years ago
14

Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi

n their school. They select a random sample of 240 students who are asked to complete a survey anonymously. Of these students, 54 report that they have experienced bullying. Use this information to find a 95% ???? ‑confidence interval for ???? , the true proportion of students at this school who have experienced bullying.
Mathematics
1 answer:
RSB [31]3 years ago
8 0

Answer:   (0.273,\ 0.783)

Step-by-step explanation:

Given : Total number of students who are asked to complete a survey anonymously : n= 240

Number of students

The proportion report that they have experienced bullying =54

Then , the proportion that students have experienced bullying =p=\dfrac{54}{240}=0.225

Significance interval : \alpha=1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

The confidence interval for the true proportion is given by :-

p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.225\pm (1.96)\sqrt{\dfrac{(0.225)(1-0.225)}{240}}\\\\\approx0.225\pm0.0528\\\\=(0.255-0.528,\ 0.255+0.528)\\\\=(0.273,\ 0.783)

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A fast-food company is interested in knowing the probability of whether a customer viewed an advertisement for their new special
lord [1]

Answer:

45% probability that a randomly selected customer saw the advertisement on the internet or on television

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a customer saw the advertisement on the internet.

B is the probability that a customer saw the advertisement on television.

We have that:

A = a + (A \cap B)

In which a is the probability that a customer saw the advertisement on the internet but not on television and A \cap B is the probability that the customers saw the advertisement in both the internet and on television.

By the same logic, we have that:

B = b + (A \cap B)

12% saw it on both the internet and on television.

This means that A \cap B = 0.12

20% saw it on television

This means that B = 0.2

37% of customers saw the advertisement on the internet

This means that A = 0.37

What is the probability that a randomly selected customer saw the advertisement on the internet or on television

A \cup B = A + B - (A \cap B) = 0.37 + 0.2 - 0.12 = 0.45

45% probability that a randomly selected customer saw the advertisement on the internet or on television

6 0
3 years ago
What is the missing addend?<br> 52,835 +<br> = 87,216
posledela

Answer: 34,381

Step-by-step explanation:

You have to subtract 52,835 by the sum 87,216 which will get you the answer of 34,381

6 0
3 years ago
Read 2 more answers
n a call center the number of received calls in a day can be modeledby a Poisson random variable. We know that, on average, 0.5%
guapka [62]

Answer:Pois(ln(200))

Step-byy-step explanation:

Let N be the number of received calls in a day

That is

N∼Pois(λ).

0.5% = 0.5/100 = 1/200 of no calls

P(N=0)=e^−λ=1/200

-λ=e^(1/200)

λ=in(200)

Our number of calls in a day is distributed Pois(ln(200)).

7 0
3 years ago
Read 2 more answers
Help!! Which of the following best represents Z1 • Z2 select all that apply
AURORKA [14]

z_1=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)

z_2=\sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)

\cos \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}

\sin \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}

\cos \left(\frac{3\pi }{4}\right)=-\frac{\sqrt{2}}{2}

\sin \left(\frac{3\pi }{4}\right)=\frac{\sqrt{2}}{2}\\

Z_1*Z_2=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)\cdot \sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)

=\sqrt{3}\left(\frac{\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)\cdot \sqrt{6}\left(\frac{-\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)

On simplifying, we get

Z_1* Z_2 =-3\sqrt{2}

<h2>Therefore, correct option is  1st option.</h2>
3 0
3 years ago
1 15/100 +1/50 +1.175
kifflom [539]
Convert all into a fraction and you will get 115/100+1/50+47/40
So your answer is 469/200 or 2.345 as a decimal
4 0
3 years ago
Read 2 more answers
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