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"β", the probability of a type II error here in this question is, the electrician cannot conclude that more than 90% of homes in the city are up to the current electric codes when, in fact, more than 90% of homes are up to the current electric codes.
As per the question statement, the null hypothesis, , is that, no more than 90% of homes in the city are up to the current electric codes, while an alternative hypothesis,
, is by an electrician claiming more than 90% of homes in the city are up to the current electric codes.
We are required to find out "β" which is the probability of a type II error.
β = Probability of accepting when it is incorrect.
The probability of a Type II error occurs in the situation where, the null hypothesis of "more than 90% of homes in the city are up to the current electric codes" is accepted even though the alternative hypothesis that the electrician claims about "more than 90% of homes in the city being up to the current electric codes" is true. More clearly, the alternative hypothesis that the electrician claims about more than 90% of homes in the city being up to the current electric codes is in fact, rejected when it is correct.
Hence the correct answer :
The probability of Type II error is (β) is that, "The electrician cannot conclude that more than 90% of homes in the city are up to the current electric codes when, in fact, more than 90% of homes are up to the current electric codes".
- Probability: In Mathematics, Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
- Null & Alternative Hypothesis: A null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations while, an alternative hypothesis states about our research prediction of an effect or relationship.
To learn more about Null & Alternative Hypothesis, click on the link below.
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Answer:
the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle
Step-by-step explanation:
Hello, I think I can help you with this
If you know two points, the distance between then its given by:
Step 1
use the formula to find the length PQ
Let
P1=P=P(2, −3, −4)
P2=Q=Q(8, 0, 2)
the length PQ is 9 units
Step 2
use the formula to find the length QR
Let
P1=Q=Q(8, 0, 2)
P2=R= R(11, −6, −4)
the length QR is 9 units
Step 3
use the formula to find the length PR
Let
P1=P(2, −3, −4)
P2=R= R(11, −6, −4)
the length PR is 9.48 units
Step 4
is it a right triangle?
you can check this by using:
Let
side 1=side 2= 9
hypotenuse = 9.48
Put the values into the equation
Hence, the triangle is not a right triangle
Step 5
is it an isosceles triangle?
In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.
Now side PQ=QR, so this is a isosceles triangle
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