Answer:
The probability that the result is positive is P=0.04475=4.475%.
Step-by-step explanation:
We have the events:
D: disease present
ND: disease not present
P: test positive
F: test false
Then, the information we have is:
P(D)=0.005
P(P | D)=0.99
P(P | ND)=0.04
The total amount of positive test are the sum of the positive when the disease is present and the false positives (positive tests when the disease is not present).
The probability that the result is positive is P=0.04475.
Answer:
The correct option are;
On a coordinate plane, a cubic function has an x-intercept of (0, 0)
On a coordinate plane, an oval is in quadrant 1
Step-by-step explanation:
Rotational symmetry of a shape is a shape that when it is rotated on its axis to a given angle less than one complete revolution, the shape looks exactly like the pre-image or original appearance of the shape
For a cubic function that has x-intercept = (0, 0) we have;
y = f(x) = a·x³ + b·x² + c·x
Has the shape f a fan blade and therefore, looks the sane when rotated when rotated through 180°
The shape of an oval looks the same when rotated through 180°
Answer:
Reject <em>H</em>₀. There is a significant difference in drug resistance between the two states.
Step-by-step explanation:
In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.
The significance level of the test is, <em>α</em> = 0.02.
(1)
The hypothesis can be defined as follows:
<em>H</em>₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. .
<em>Hₐ</em>: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. .
(2)
Compute the sample proportions and total proportion as follows:
Compute the test statistic value as follows:
The test statistic value is 2.86.
(3)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
<em>p</em>-value = 0.00424 < <em>α</em> = 0.02.
The null hypothesis will be rejected at 0.02 significance level.
Reject <em>H</em>₀. There is a significant difference in drug resistance between the two states.