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seropon [69]
3 years ago
11

Tests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of such tests for tuberculosis. Suppose tha

t for the population of adults that is taking the test, 5% have tuberculosis. The test correctly identifies 74.6% of the time adults with a tuberculosis and correctly identifies those without tuberculosis 76.53% of the time. Suppose that POS stands for the test gives a positive result and S means that the adult really has tuberculosis. What is the probability of an adult getting a NEG result and truly having tuberculosis?
Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer:

the probability of an adult getting a NEG result and truly having tuberculosis is 0.0127

Step-by-step explanation:

S = the adult really has tuberculosis.

S' = complement of S = the adult does not has tuberculosis.

POS = the test gives a positive result

P(S)= 0.05

P(POS | S)=0.746

P(NEG | S')= 0.7653

this is an intersection because the "and" word

P(NEG ∩ S) =  P(NEG| S)*P(S)=(1-P(POS | S))*P(S)=(1-0.746)*0.05=0.0127

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Which logarithmic equation is equivalent to the exponential equation below? E^a=60
Gala2k [10]

Answer:

B

Step-by-step explanation:

e is the base of the natural log system.

take the natural log of both sides.

ln(e^a) = ln(60)                      The power can come down

a ln(e) = ln(60)                       The natural log of e = 1

a * 1 = ln (60)

a = ln(60)  

8 0
4 years ago
Please help I’ll give brainliest
Minchanka [31]

Answer:

the answer which you have opted is perfect

6 0
3 years ago
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Create a word problem that the equation 4x + 32 = 164 could represent.
Svetlanka [38]

It is a hot summer day, and Jade is trying to save money to buy a new shoe. She has 32 dollars, and she plans to sell smoothies at her neighborhood for four dollars a cup. At the end of the day, she is left with a total of 164 dollars in her wallet. How many smoothies did Jade sell?

3 0
2 years ago
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In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th
deff fn [24]

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 64

    The average price is  \= x  = \$ 112

    The population standard deviation is  \sigma  = \$ 16

     The level of significance is  \alpha  = 0.05

    The population mean is  \mu = \$ 108.5

The null hypothesis is  H_o :  \mu = 108.50

The alternative hypothesis is  H_a  :  \mu \ne  108.50

Generally the test statistics is mathematically represented as

       z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }

=>    z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }  

=>    z = 1.75

From the z table  the area under the normal curve to the left corresponding to  1.75  is  

       P( Z >  1.75) = 0.040059

Generally  p-value is mathematically represented as

        p-value = 2 * P( Z >  1.75)

=>     p-value = 2 * 0.040059

=>     p-value = 0.08012

From the values obtained we see that  p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

 

3 0
3 years ago
What would Y be equal to in the problem 0.5x + 0.6y = 5.4
Alla [95]

Answer:

y = -\frac{5}{6}x + 9

Step-by-step explanation:

0.5x + 0.6y = 5.4

0.6y = -0.5x + 5.4

Multiply 10 on all sides.

6y = -5x + 54

Divide 6 on all sides.

y = -\frac{5}{6}x + 9

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2 years ago
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