A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8%? Round your answer to four decimal places.

Answers

Answer 1

Answer:

Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.

Step-by-step explanation:

For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as

[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}[/tex]

Here

[tex]\hat{p}[/tex] is the sample measure which is 8% or 0.08p is the population measure which is 6% or 0.06n is the number of samples which is 529

So the Z score is given as

[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955[/tex]

For this the score, the value of probability is calculated from the table as below:

[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z<-1.6955)[/tex]

Here value of p(Z<-1.6955) is given as 0.0455

[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z<-1.6955)\\P(\hat{p}>0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545[/tex]

 


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Answer:

The value of k=4

Step-by-step explanation:

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Answers

Answer:

x = 10.6, y = 39.6

Step-by-step explanation:

Given that,

Angle A = 75°

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= 15°

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Answers

Answer:

Substitute y=5x+13

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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B, Rosa has 6/12, which is 50%

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Answers

Answer:

165-90=75

item D

Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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EX-8--12
ighlight
Time
maining
3:13:47
de Tools
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Answers

Answer:

12566.4 mm²

Step-by-step explanation:

The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish? Round to the nearest tenth. A cylindrical-shaped Petri dish with a radius of 50 millimeters and a height of 15 millimeters.

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CSA = Curved Surface Area

TSA of open cylinder = CSA of cylinder + area of base or top

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= πr(2h + r)

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Answers

Answer:

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Step-by-step explanation:

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