Mathematics, 07.04.2020 22:17 heavenwagner

Express the confidence interval (0.069 comma 0.121 )in the form of ModifyingAbove p with caret minus Upper E less than p less than ModifyingAbove p with caret plus Upper E.

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Answer from: stodd9503

For this case the confidence interval is given by: (0.069, 0.121)

And we can estimate the sample proportion like this:

$\hat p = \frac{0.069+0.121}{2}= 0.095$

And the margin of error given by: $ME= z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ can be calculated with this formula:

ME= 0.121-0.095 = 0.026

ME= 0.095 -0.069 = 0.026

And for this case we can express the interval like this:

$0.095 \pm 0.026$

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".

Solution to the problem

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

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

For this case the confidence interval is given by: (0.069, 0.121)

And we can estimate the sample proportion like this:

$\hat p = \frac{0.069+0.121}{2}= 0.095$

And the margin of error given by: $ME= z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ can be calculated with this formula:

ME= 0.121-0.095 = 0.026

ME= 0.095 -0.069 = 0.026

And for this case we can express the interval like this:

$0.095 \pm 0.026$

Answer from: Quest

i'm not sure what you mean but in todays world there is a lot of women that are the bread winners in the family. there is a lot more single mothers now that are going back to get an education which is boosting the economy. i believe there has been a boost in the economy due to women the cosmetic industry is boosting, chemist, the sky is becoming the limit for women in todays economy. most women are also putting off having kids just to make sure they have a education. i don't know how these two relate though to scriptures because it's not the way the lord wanted it. the man is suppose to be the bread winner and due to social media and the easy access we have there is a lot of cheating going on.

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Answer from: Quest

srry idk

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Express the confidence interval (0.069 comma 0.121 )in the form of ModifyingAbove p with caret minus...