How do I simplify -42+(-17)

A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop

attashe74 [19]

Answer:

$0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286$

$0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562$

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

$X= 36$ represent the families owned at least one DVD player

$n= 85$ represent the total number of families

$\hat p=\frac{36}{85}= 0.424$ represent the estimated proportion of families owned at least one DVD player

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 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

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

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

If we replace the values obtained we got:

$0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286$

$0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562$

The 99% confidence interval would be given by (0.286;0.562)

8 0

3 years ago

Write and solve the equation and then check your answer. Which statements are true about the equation and its solution? Check

ch4aika [34]

The correct equation is n - 31 = 52

To check the solution, substitute 83 for the variable in the equation

This is an addition problem.

To solve the equation, add 31 to both sides.

Step-by-step explanation:

A number decreased by thirty-one is fifty-two

That means:

Subtract 31 from a number
The difference equal 52

Assume that the number is n

∵ The number is n

∵ When n decreased by 31 the answer is 52

∴ The equation is n - 31 = 52

The correct equation is n - 31 = 52

∵ n - 31 = 52

- To find n add 31 to both sides of the equation

∴ n - 31 + 31 = 52 + 31 ⇒ addition property

∴ n = 83

-To check the equation substitute n by 83 in the left hand side, the

answer must be equal the right hand side

∵ Left hand side = 83 - 31 = 52

∵ Right hand side = 52

∴ n = 83 is correct answer

To check the solution, substitute 83 for the variable in the equation

This is an addition problem.

To solve the equation, add 31 to both sides.

Learn more:

You can learn more about solving equation in one variable in brainly.com/question/11306893

#LearnwithBrainly

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