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kvasek [131]
3 years ago
8

Eric randomly surveyed 150 adults from a certain city and asked which team in a contest they were rooting​ for, either North Hig

h School or South High School. From the results of his​ survey, Eric obtained a​ 95% confidence interval of​ (0.52,0.68) for the proportion of all adults in the city rooting for North High. What proportion of the 150 adults in the survey said they were rooting for North High​ School?
A. 0.646

B. 0.60

C. Somewhere between 0.52 and 0.68, but the exact proportion cannot be determined.

D. This information cannot be determined from the information given in the problem
Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

Answer:

B. 0.60

Step-by-step explanation:

Let be

X = adults in the survey said they were rooting for North High School

µ = mean

σ = standard deviation

let be

X1 = 0.52

X2 = 0.68

We know that a 95% confidence interval correspond to z values of -1.96 and 0.96

Now we have two equations to find µ and σ

-1.96 = (0.52 –µ)/σ  ….. equation 1

1.96 = (0.68 –µ)/σ   ….. equation 2

Dividing equation 1 and equation 2

-1.0 = (0.52 –µ)/ (0.68 –µ)

-1.0 (0.52 –µ) = (0.68 –µ)  

-0.52 + µ =0.68 - µ

µ + µ = 0.68 + 0.52

2 µ = 1.2

µ = 0.6

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Hi there!  

»»————- ★ ————-««

I believe your answer is:  

65% has the greater value.  

»»————- ★ ————-««  

Here’s why:  

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⸻⸻⸻⸻

\boxed{\text{Comparing Numbers:}}\\\\-------------\\\rightarrow\frac{16}{25}= 0.64\\\\\rightarrow 65\%=\frac{65}{100}=0.65\\ -------------\\\\\boxed{0.65 > 0.64}\\\\\text{Therefore:}\\\\\boxed{65\% > \frac{16}{25}}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

6 0
2 years ago
Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less th
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5 0
3 years ago
In the diagram below of circle 0, diameter AB is
Nina [5.8K]

Answer:

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