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Leona [35]
2 years ago
6

Find the measure of .

Mathematics
1 answer:
mixas84 [53]2 years ago
6 0
1828 cbcndnd d
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D
Dnd
Dnd
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Dnddndnmememememe soem says bave wneiwkqpqkenekwhas W. R
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There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f
Ann [662]

Answer:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

The estimated population proportion for this case is:

\hat p = \frac{350}{500}=0.7

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0
2 years ago
Identify the corresponding word problem given the equation: x = 10.20 × 9
crimeas [40]

B) At a restaurant, William and eight friends divided the bill evenly. If each person paid $10.20, what was the total bill?

8 0
3 years ago
Please help quick<br> due in 20 mins
IrinaK [193]

Answer:

5.7 I pretty sure

Step-by-step explanation:

3 0
3 years ago
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After a 25% discount, the sale price of a sweater that Amanda wants to purchase is $18. What was the original price? *
GalinKa [24]

Answer:

$72

Step-by-step explanation:

18/.25 will get you the original price

4 0
2 years ago
PLSSSS ANSWER 10 POINTS AND BRAINLIEST
IceJOKER [234]

Answer:

x=20

Step-by-step explanation:

we know that

x+100+3x=180

so solve for x

4x+100=180\\\\4x=80\\\\x=\frac{80}{4}=20

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2 years ago
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