A genetic test is used to determine if people have a predisposition for thrombosis, which is the formation of a blood clot inside a blood vessel that obstructs the flow of blood through the circulatory system. It is believed that 3% of people actually have this predisposition. The genetic test is 98% accurate if a person actually has the predisposition, meaning that the probability of a positive test result when a person actually has the predisposition is 0.98. The test is 97% accurate if a person does not have the predisposition. What is the probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition? (Round your answer to four decimal places.)

Answer:

1/4

Step-by-step explanation:

Since the denominatior is the same, we can look at only the numerator. So 7/8 - 5/8 is basically 7 - 5 which is 2.

The denominator doesn't change so it's 2/8. We can further simplify this into 1/4.

Step-by-step explanation:

Factor by grouping.

f(x) = x³ + 3x² − 5x − 4

f(x) = x³ + 3x² − 4x − x − 4

f(x) = x (x² + 3x − 4) − (x + 4)

f(x) = x (x − 1) (x + 4) − (x + 4)

f(x) = (x² − x) (x + 4) − (x + 4)

f(x) = (x² − x − 1) (x + 4)

Answer:

942

Step-by-step explanation:

The formula for cone volume is V=πr²h/3. If you plug the radius and height in for the variables and use 3.14 for pi you get 942.

The upper critical value z₀ of the hypothesis is 2.05.

How to explain the hypothesis?

From the information given, it can be noted that this is a two-sided test. In this case, the critical values are the values of z that determine the boundaries of whether one should reject the null hypothesis or shouldn't.

Since the significance level is 0.04, it simply implies that there is a p-value of 0.02. Then, the next thing is to check the normal distribution table, and this corresponds to the z value of 2.05.

In conclusion, the correct option is 2.05.

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Answer:

The upper critical value z₀ is 2.05.

Step-by-step explanation:

For a two-sided test like this (the mean can be significantlt greater or smaller than 7 to reject the null hypothesis), the critical values are the values of z that determine the boundaries of rejecting or not the null hypothesis.

If the significance level is 0.04, it means that there is a P-value of 0.02 for z larger than the upper critical value z₀.

If we look up in a normal distribution table, the z value that corresponds to this probability is z=2.05.