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3 years ago

9

20 POINTSSS AND I WILL GIVE BRAINLIEST !!

1 answer:

inessss [21]3 years ago

7 0

I think it’s Step 2 your welcome

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3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo

salantis [7]

Answer:

$ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346$

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

We assume for this case a confidence level of 95%. In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

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

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And if we replace the values obtained we got this:

$ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346$

6 0

3 years ago

Help me please!!!!!!!!

velikii [3]

Answer:

(5x-1)(3x+2)

(if you don't want to do all of this you can use

Step-by-step explanation:

((3•5x2) + 7x) - 2

Factoring 15x2+7x-2

The first term is, 15x2 its coefficient is 15 .

The middle term is, +7x its coefficient is 7 .

The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 15 • -2 = -30

Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is 7 .

-30 + 1 = -29

-15 + 2 = -13

-10 + 3 = -7

-6 + 5 = -1

-5 + 6 = 1

-3 + 10 = 7 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 10

15x2 - 3x + 10x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (5x-1)

Add up the last 2 terms, pulling out common factors :

2 • (5x-1)

Step-5 : Add up the four terms of step 4 :

(3x+2) • (5x-1)

Which is the desired factorization

7 0

3 years ago

Read 2 more answers

Una empresa de elaboración de helados es capaz de producir 800 litros de helado de tres leches, con 8 máquinas en 42 minutos. Si

Pavel [41]

Answer:

I dont understand spanish!

Step-by-step explanation:

6 0

3 years ago

Shawna buys 2 1/2 gallons of paint. If she uses 1/3 of it on the first day, how much does she have left?

Stolb23 [73]

Answer:

2 and 1/2 = 2.5

2.5 divided by 3 = 0.83

0.83 x 2 = 1.66 or 1 and 2/3 gallons of paint left

Step-by-step explanation:

Hope this helps! Have a nice day!

4 0

3 years ago

Expand. If necessary, combine like terms. (x+3)(x-3)=

Ne4ueva [31]

Answer:

${x}^{2} - 9$

Step-by-step explanation:

$(x−3)(x+3)$

$x(x+3)−3(x+3)$

$x \times x+x \times 3−3x−3 \times 3$

$x \times x−3 \times 3$

${x}^{2} - 9$

<h3>Hope it is helpful....</h3>

8 0

3 years ago