An electrician needs to run a cable from the top of a 40-foot tower to a transmitter box located 30 feet away from the base of
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Answer:
The p value for this case can be calculated with this probability:
Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1
Step-by-step explanation:
Information given
n=310 represent th sample selected
X=28 represent the subjects wrong
estimated proportion of subjects wrong
is the value to verify
represent the significance level
t would represent the statistic
represent the p value
System of hypothesis
We want to test the claim that less than 10 percent of the test results are wrong ,and the hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
The p value for this case can be calculated with this probability:
Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1
A quadrant is the area that is divided into the x and y axes
The quadrants in which tan and cot
are positive are I and III
The tangent of an angle is calculated as:
While the cotangent of the angle is calculated as:
The above equations mean that:
For the tangent and cotangent of an angle to be positive, then the sine and the cosine of the angle must have the same sign.
- In the first quadrant, the sine and the cosine angles are positive.
- In the third quadrant, the sine and the cosine angles are negative.
Hence, the quadrants in which tan and cot
are positive are I and III
Read more about trigonometry ratios at: