How do I solve this problem X/n = q
1 answer:
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Answer:
30 ft
Step-by-step explanation:
This is a classic right triangle problem, where the length of the ladder represents the hypotenuse, where the ladder is lengthwise from the building is the base of the triangle, and what we are looking for is the height of the triangle. Pythagorean's Theorem will help us find this length.
so
1024 - 100 = y^2 and
y = 30.4 so 30 feet
"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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