Based on the accuracy of the test and the probability of Kevin having the disease, the following are true:
- Probability that Kevin has diabetes and the test predicts this = 0.6375.
- Probability that Kevin has diabetes and the test doesn't predicts this = 0.1125.
- Probability that Kevin doesn't have diabetes and the test predicts this = 0.2125.
- Probability that Kevin doesn't have diabetes and the test doesn't predicts this = 0.0375.
<h3>Probability that Kevin has diabetes and the test predicts this</h3>
= Probability that Kevin has diabetes x Accuracy of test
= 0.75 x 0.85
= 0.6375
<h3>Probability that Kevin has diabetes and the test doesn't predicts this</h3>
= Probability that Kevin has diabetes x (1 - Accuracy of test )
= 0.75 x ( 1 - 0.85)
= 0.1125
<h3>Probability that Kevin doesn't have diabetes and the test predicts this</h3>
= Probability that Kevin doesn't have diabetes x Accuracy of test
= ( 1 - 0.75) x 0.85
= 0.2125
<h3>Probability that Kevin doesn't have diabetes and the test doesn't predicts this</h3>
= Probability that Kevin doesn't have diabetes x (1 - Accuracy of test )
= ( 1 - 0.75) x (1 - 0.85)
= 0.0375
In conclusion, the probability depends on the accuracy of the test and the probability of having diabetes.
Find out more on probability at brainly.com/question/6354635.
Answer:
z-4
Step-by-step explanation:
z(5z²-80) ÷ 5z(z+4) = z-4
Step-by-step explanation:
Given: z(5z²-80) ÷ 5z(z+4)
Calculation:
First we factor numerator z(5z²-80)
Take out 5 from 5z²-80 and we get 5z(z²-16)
Now we factor 16 = 4²
5z(z²-4²)
Using formula, (a²- b²)=(a+b)(a-b)
5z(z²- 4²)⇒5z(z+4)(z-4)
Simplified fraction
5z(z+4)(z-4) ÷ 5z(z+4)
Cancel like factor from numerator and denominator
⇒ z-4
Thus, z(5z²-80) ÷ 5z(z+4) = z-4
A
Because it is open, it is not including 5
Answer:
A) The proportions of wins is the same for teams wearing suits as for teams wearing jeans
Step-by-step explanation:
Although the question says that they will "test the claim at the 0.05 level that the proportion of win is the same for teams wearing sutis as for the teams wearing the jeans", the claim, that will be expressed in the alternative hypothesis, is that there is a significant difference between the two proportions.
The null hypothesis, the one that this test try to nullify, will state that there is no significant difference between the two proportions. Or, saying the same, that the proportions are equal.
The right answer is A, which states that the two proportions (as this is a test on the difference of proportions) are equal.