Mathematics, 05.05.2020 09:33, culturedxnat

Suppose that a fast food restaurant decides to survey its customers to gauge interest in a breakfast menu. After surveying multiple people, the restaurant created a 95% confidence interval for the proportion of customers interested in a breakfast menu. The confidence interval is (0.688,0.766) . Use the confidence interval to find the point estimate and margin of error for the proportion. Give your answer precise to three decimal places.

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answered: jadalove45

$\hat p = 0.727$ point of estimate for the proportion of customers interested in a breakfast menu

ME= 0.039 represent the margin of error.

Step-by-step explanation:

For this case we want to find a confidence interval for the proportion of customers interested in a breakfast menu.

The confidence interval for this case is given by this formula:

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

And the margin of error is given by:

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

The 95% confidence for this case is given by:

$0.688 \leq p \leq 0.766$

We can find the point of estimate for the proportion using the fact that the interval is symmetrical

$\hat p = \frac{Lower+Upper}{2} =\frac{0.688+0.766}{2}=0.727$

And we can find the margin of error with this difference:

$ME = Upper- \hat p = 0.766-0.727 = 0.039$

Or equivalently with:

$ME = \hat p -Lower = 0.727- 0.688 =0.039$

So then the final answer for this case would be:

$\hat p = 0.727$ point of estimate for the proportion of customers interested in a breakfast menu

ME= 0.039 represent the margin of error.

answered: Guest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

answered: Guest

step-by-step explanation:

its 512 because parenthesis and to the 2nd power is 512 so it will be 512

Answer this question for 50 points and brainliest : d

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Suppose that a fast food restaurant decides to survey its customers to gauge interest in a breakfast...