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09.02.2021 •
Mathematics
Ms. B used an app on her phone and measured the angle of elevation to the top of a mountain and found it to be 19°. She then drove 7 miles closer to the mountain and again measured the angle of elevation. Now it was 53°. Assuming she drove along a straight, flat road. What is the height of the mountain? Round your answer to the hundredths place and label appropriate units. Upload a clear photo of the work for just this problem.
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Ответ:
Step-by-step explanation:
(a)
The population under study are the adults of United States.
(b)
A parameter the population characteristic that is under study.
In this case the researcher is interested in the proportion of US adults who say they could not cover a $400 unexpected expense without borrowing money or going into debt.
So the parameter is the population proportion of US adults who say this.
(c)
A point estimate is a numerical value that is the best guesstimate of the parameter. It is computed using the sample values.
For example, sample mean is the point estimate of population mean.
The point estimate of the population proportion of US adults who say cover a $400 unexpected expense without borrowing money or going into debt, is the sample proportion,
.
(d)
The uncertainty of the point estimate can be measured by the standard error.
The standard error tells us how closer the sample statistic is to the parameter value.
(e)
The standard error is:
(f)
The sample proportion of US adults who say they could not cover a $400 unexpected expense without borrowing money or going into debt, is approximately 42.1%.
As the sample size is quite large this value can be used to estimate the population proportion.
If the proportion is believed to be 50% then she will be surprised because the estimated percentage is quite less than 50%.
(g)
Compute the standard error using p = 0.40 as follows:
The standard error does not changes much.