Answer:5
Step-by-step explanation: F(-3)=(-3)^2 -4
(-3)^2=9
F(-3)=9-4
F(-3)=5
The answer would be h^2*8
The statement that is not true for goodness-of-fit tests is: A. Expected frequencies must be whole numbers.
<h3>What is Goodness-of-fit tests?</h3>
Goodness-of-fit tests can be defined as the test conducted to help find out whether the observe value work hand in hand with expected value or the observe value is different from the expected value.
The statement is not true because it is not must for expected frequencies to be whole number despite the fact that expected frequencies are whole numbers.
Therefore the statement that is not true for goodness-of-fit tests is: A. Expected frequencies must be whole numbers.
Learn more about Goodness-of-fit tests here:brainly.com/question/16910222
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Okay so to figure out this problem you need to say 5/1 times 3/4 which equals 15/4 We know that we cant have an improper fraction so we divide this and it equals 3
Answer:
a) 0.2416
b) 0.4172
c) 0.0253
Step-by-step explanation:
Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .
denoting event a A=the test proves correct and B=the river is polluted
a) the test indicates pollution when
- the river is polluted and the test is correct
- the river is not polluted and the test fails
then
P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416
b) according to Bayes
P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)
then
P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172
c) since
P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+ 0.16*0.12 = 0.7584
the rate of false positives is
P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253
