Answer: The correct answer is 5
Answer:
The probability that an individual has the disease and has a positive test result is:
9.8%.
Step-by-step explanation:
Probability of a true positive result for a test of syphilis = 0.98 or 98%
Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)
Probability of a true negative result for a test of syphilis = 0.9 or 90%
Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)
Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%
Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

<h3>What are the hypotheses tested?</h3>
At the null hypotheses, it i tested if the mean difference remains the same, that is:

At the alternative hypotheses, it is tested if it has decreased, hence:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:

The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
The parameters are given as follows:
.
Hence the test statistic is given by:


More can be learned about the t-distribution at brainly.com/question/16162795
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<h2>
Hello!</h2>
The answer is:
C. 
<h2>
Why?</h2>
The density is the relation between the mass and the volume of an object. We are given four options to chose, and we can find the correct one by doing the following calculations:

So, the correct options is C. 
Have a nice day!
Answer:
Step-by-step explanation:
F(x) =5x + 1 , find f(-4)
Putting value of x = 4
F(4) = 5(4) + 1
= 20 + 1 = 21