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alexandr1967 [171]
2 years ago
9

Can somebody please help me

Mathematics
1 answer:
Agata [3.3K]2 years ago
5 0
Answer: I think it’s D
Explanation:
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A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required
Katyanochek1 [597]

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The estimate is of \pi = 0.61, while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}

\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2

n = 1015.5

Rounding up, 1016 constituents are required.

More can be learned about the z-distribution at brainly.com/question/25890103

8 0
1 year ago
Function or not?<br> I will give you brainliest<br> Pls help, Thank you
Anestetic [448]
Function:)hope this helped
3 0
3 years ago
Write x^2 • x^5 without exponents
WITCHER [35]
The best way to write x^2 x x^5 without exponents would be....
x - x - x - x - x - x - x
 (by the way this - is multiplication sign idk how to out the dot)

I hope this helps!
4 0
3 years ago
What the answer solve for a: 9 = ca
kompoz [17]

Answer:

a = 9/c

Step-by-step explanation:

We want to isolate a.  To do this, divide both sides of the given equation by c:

9      ca

---- = -----

 c        c

This yields

a = 9/c

8 0
2 years ago
You are renting a moving truck for a day. There is a daily fee of $20 and a charge of 0.75 per mile. Your budget allows a maximu
Julli [10]

65-20 = 45

45/.75 = 60 miles

I hope this isn't to vague


6 0
3 years ago
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