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mestny [16]
3 years ago
13

Please study the graph and select all the true statements.

Mathematics
1 answer:
ad-work [718]3 years ago
4 0

you do k12 too? what a small world

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A confidence interval was used to estimate the proportion of statistics students that are female. A random sample of 72 statisti
jeyben [28]

Answer:

We need a sample of size at least 13.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

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

90% confidence interval: (0.438, 0.642).

The proportion estimate is the halfway point of these two bounds. So

\pi = \frac{0.438 + 0.642}{2} = 0.54

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?

We need a sample of size at least n.

n is found when M = 0.08. So

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

0.08 = 1.96\sqrt{\frac{0.54*0.46}{n}}

0.08\sqrt{n} = 1.96\sqrt{0.54*0.46}

\sqrt{n} = \frac{1.96\sqrt{0.54*0.46}}{0.08}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.54*0.46}}{0.08})^{2}

n = 12.21

Rounding up

We need a sample of size at least 13.

3 0
3 years ago
I NEED HELP PLEASE. THANK YOU
vova2212 [387]

Answer:

Given

Distributive property

Subtraction property of equality

Simplify

Subtraction property of equality

Simplify

Division property of equality

Simplify

Step-by-step explanation:

If you want an explanation I would be happy to provide you with one, but I do not want to have to explain the entire thing right here because it would be really long.

7 0
3 years ago
What times what equals 26 besides 26 times 1?
uysha [10]
2*13 equals 26
that is another problem

8 0
3 years ago
Which angles are pairs of corresponding angles? Check all that apply.
nevsk [136]

Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.

hope it helps!!

7 0
3 years ago
Please help!! Giving brainliest and extra points!! (Click on the photo)
ExtremeBDS [4]

Answer:

B) 24

Step-by-step explanation:

Hw = 20% = 0.2

120(0.2) = 24

8 0
3 years ago
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