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Phantasy [73]
3 years ago
14

4. Explain the meaning of a level of significance of 5%. Why is a level of

Mathematics
1 answer:
-Dominant- [34]3 years ago
3 0

Answer:

5% significance level indicates the level of risk, error or exactness. It guides our conclusion on which hypothesis a data supports

Level of significance defined as the possibility, probability or chances of rejecting a null hypothesis when it's results is valid.

For every statistical hypothesis, the result has propency or likeliness to be exact or not. That is, it has chances of containing a type of error referred to as level of significance.

Now, a 5% significance level implies that, the statistical results or analysis has 95% reliability or confidence level.

In other words, a 5% significance level indicates that a result has 0.05 RISK level.

The level of significance is needed for every hypothetical test because it indicates validity of each hypothesis data. It gives confidence such that one is at peace to know the hypothesis a particular data supports

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Please help me out with this math problem
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Answer: 74.8%

This answer is approximate.
The value is rounded to the nearest tenth of a percent.

==========================================

Explanation:

Let,
X = area of the larger circle
Y = area of the smaller circle
Z = area of the shaded region = X - Y

The goal is to compute the ratio Z/X to get the answer we want

Let's find area of the larger circle
Area of circle = pi*(radius)^2
A = pi*r^2
X = pi*8.01^2
X = 64.1601pi
This is the exact area in terms of pi

Now repeat for the smaller circle
A = pi*r^2
Y = pi*4.02^2
Y = 16.1604pi

Subtract those results to find the value of Z
Z = X-Y
Z = 64.1601pi-16.1604pi
Z = 47.9997pi
This is the exact area of the red donut region

Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
Z/X = (47.9997)/(64.1601) <--- note how the pi terms cancel
Z/X = 0.74812 which is approximate

Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%

Then round this to one decimal place
74.812% ---> 74.8%

5 0
3 years ago
Round 0.584 to the nearest tenth
gogolik [260]

0.584 has an 8 in the hundredths place, which is five or above, so we round up to

Answer: 0.6


6 0
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