Please help me w the equation and please don’t take advantage of the points.

HURRY TIMED QUIZ!! ABCD is a rhombus. Find the length of AC. <br> A.20<br> B.30<br> C.26<br> D.16

Inessa05 [86]

Answer:

26

Step-by-step explanation:

6 0

2 years ago

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In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95%

lions [1.4K]

Answer:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59$

And rounded up we have that n=350

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".

$p$ represent the real population proportion of interest

$\aht p$ represent the estimated proportion for the sample

n is the sample size required (variable of interest)

$z$ represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution

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

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 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 on this case we have that $ME =\pm 0.05$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59$

And rounded up we have that n=350

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2 years ago

Jennifer mixes an alloy containing 14% gold with an alloy containing 24% gold to make 100 pounds of an alloy with 18% gold. How

kaheart [24]

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Administration officials say the government has no plans for a new plan for a new president in a long way for the national security to meet the national government for a new plan to stop the government and government officials in a new plan for the president president in a new plan for the president of the country for a new plan for the president of national president in a new national government in a new plan to halt national security and plan for the national security plan to protest against the president and national president of president hun president and national security adviser to the new plan

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1 year ago

What is the measure of angle RPS?

liq [111]

Answer:

70

Step-by-step explanation: the type of angle it is

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2 years ago

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Which of the following describes a simple event ?

bija089 [108]