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Goryan [66]
2 years ago
10

20) In a recent poll of 1200 randomly selected adult office workers, 32% said they had worn a Halloween costume to the office at

least once. Report the 95% confidence interval for the proportion of all adult office workers who have worn a Halloween costume to the office at least once. (Round final calculations to the nearest tenth of a percent) A) (30.7%, 33.4%) B) (28.0%, 36.1%) C) (29.4%, 34.6%) D) None of these
Mathematics
1 answer:
Allisa [31]2 years ago
6 0

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

n = 1200

x = 32% of 1200

So, \hat{p}=32\5=0.32

We need to find 95% confidence interval.

so, z = 1.96

So, margin of error would be

z\times \sqrt{\dfrac{p(1-p)}{n}}\\\\=1.96\times \sqrt{\dfrac{0.32\times 0.68}{1200}}\\\\=1.96\times 0.0135=

So, Interval would be

\hat{p}\pm \text{margin of error}}\\\\=0.32\pm 0.0263\\\\=(0.32-0.0263,0.32+0.0263)\\\\=(0.2937,0.3463)\\\\=(0.294,0.346)\\\\=(29.4\%,34.6\%)

Hence, Option 'c' is correct.

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Rainbow [258]

It would be C because that is the one that make the most sense

7 0
1 year ago
Which of the following is an inscribed angle in the diagram below?
shutvik [7]

Answer:

A  

Step-by-step explanation:

8 0
2 years ago
Eight Divided by 534
valentina_108 [34]
<span>Answer : 0.0149812734

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3 0
3 years ago
A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function
Serggg [28]

P(x) = 12x – 180

Given:

A company makes and sells charm bracelets.

The cost of producing x bracelets is represented by the function C(x) = 180 +

8x

The revenue earned from selling x bracelets is represented by the function

R(x) = 20x.


Explanation of terms:

For x bracelets,

Cost of production is C(x); C(x) = 180 + 8x

Revenue earned is R(x); R(x) = 20x.Profit made is P(x); P(x) is unknown

Profit made = Revenue earned – Cost of production

∴ P(x) = R(x) – C(x)

P(x) = 20x – (180 + 8x)

P(x) = 20x – 180 – 8x

P(x) = 12x – 180

The profit made from selling x bracelets is represented by the function

<em> P(x) = 12x – 180</em>



8 0
3 years ago
Read 2 more answers
Write the equation of the line that has a slope of -4 and goes through (3,-3)
Sindrei [870]
The functional equation of the line is f (x)=a*x+b
you have already a: -4 -->f (x)=-4 x+b
Now you can use the point (3;-3)
3 is the x-coordinate and -3 the f (x)-coordinate
--> -3 = -4*(3) + b Now you can solve it
-3 = -12+b (+12)
b = 9
ANSWER: f (x) = -4x + 9
3 0
3 years ago
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