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MAVERICK [17]
3 years ago
6

Plz help thank you 4number4

Mathematics
1 answer:
devlian [24]3 years ago
3 0
I can’t see the problem for this but wish I could help
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A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of bo
oksian1 [2.3K]

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

<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.

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.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

n = 864, \pi = \frac{426}{864} = 0.493

Then, the bounds of the interval are given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

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

4 0
2 years ago
Events M and N are independent events. In this scenario, if P(M) = 0.46 and P(M and N) = 0.138, then P(N) = .
Oksi-84 [34.3K]

Answer:

P(N)=0.3

Step-by-step explanation:

Given: P(M)= 0.46, P(M and N)=0.138

Using P(M) ×P(N)= P(M and N)

⇒0.46×P(N)= 0.138

⇒P(N)= \frac{0.138}{0.46}

⇒P(N)=0.3

7 0
3 years ago
Read 2 more answers
8936245x18463 brainlist to who gets this right
storchak [24]
164989891435 I think lol
8 0
2 years ago
There are 25 popular trees currently in the park. Park workers will plant morepopular trees today. When the workers are finished
Vlada [557]

Current trees = 25

trees when workers are finished = 80

Subtract the number of current trees (25) to the number of trees that are when the workers are finished:

80-25 = 55

The workers planted 55 trees today

7 0
1 year ago
(solve for x)<br><br> -8-x=x-4x
AnnZ [28]

Answer:

<h2><u>ᎪꪀsωꫀᏒ</u></h2>

x= 4

Step-by-step explanation:

-8-x= x-4x

-8 = -3x+x

-8 = -2x

x= 8/2

x = 4

8 0
2 years ago
Read 2 more answers
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