What is the length of the diagonal d, of the rectangular prism shown below? Round to nearest tenth
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Answer:
a) Point estimate p=0.43.
b) The 95% confidence interval for the population proportion of female workers in US is (0.388, 0.473).
c) This confidence interval tells us that, with 95% confidence, the true proportion of females in the U.S. labor force is within 0.388 and 0.473.
d) We can conclude that females do not make up a majority of the US labor force, because we can claim, with 95% confidence, that the true proportion of female workers is under 0.473, which is below 0.5 (or 50%).
Step-by-step explanation:
a) A point estimate can be calculated using the sample results and dividing the amount of female workers in the sample by the sample size:
b) We have to calculate a 95% confidence interval for the proportion.
The standard error of the proportion is:
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the population proportion of female workers in US is (0.388, 0.473).
c) This confidence interval tells us that, with 95% confidence, the true proportion of females in the U.S. labor force is within 0.388 and 0.473.
d) We can conclude that females do not make up a majority of the US labor force, because we can claim, with 95% confidence, that the true proportion of female workers is under 0.473, which is below the 50%.
If the confidence interval have included the value 0.5, we could not be sure (with 95% confidence) that female workers do not represent de majority, as there would be possibility that the true proportion is 0.5.
The angle of depression is the same as the base angle next to the right angle because of alternate interior angles. Use the tangent ratio: 
. The angle of depression, therefore, is 27