Andrew is elder to Brian by 2 years. Andrew's father Frank is twiceas old as Andrew, and Brian is twice as old as his sister Sar
1 answer:
Let "x" represent the age of Brian.
Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"
Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"
Sarah has half the age of Brian's, we can symbolize her age as "x/2"
Frank ans Sarah's ages differ by 40 years, we can symbolize this as:
Solve the term is parenthesis
x=24 years
Andrew's age is
Andrew is 26 years old
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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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