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Lubov Fominskaja [6]
3 years ago
15

Suppose that a vaccine is 85% effective against the flu. You vaccinated 6 people. How many of the 6 vaccinated people do you exp

ect will be protected from the virus?
Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0
<h3>5 of the 6 vaccinated people will be protected from the virus</h3>

<em><u>Solution:</u></em>

Given that,

Suppose that a vaccine is 85% effective against the flu

You vaccinated 6 people

To find: Number of people you expect will be protected from the virus

From given,

85 % of 6 people are effective against the flu

Which means,

\rightarrow 85 \% \text{ of } 6\\\\\rightarrow \frac{85}{100} \times 6\\\\\rightarrow 0.85 \times 6\\\\\rightarrow 5.1 \approx 5

Thus, 5 of the 6 vaccinated people will be protected from the virus

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The CEO of a large electric utility company claims that 80 percent of his 1,000,000 customers are very satisfied with the servic
Oksana_A [137]

Answer:

Conclusion: The proportion of customers satisfied with the service they receive from the large electric utility company is different from 80%, the claim made by the CEO.

Step-by-step explanation:

To test the claim made by the CEO of a large electric utility company the newspaper must conduct a hypothesis test for one proportion.

<u>Assumption</u>:

The significance level (<em>α</em>) of the test can be assumed to be 5%.

<u>Hypothesis</u>:

H_{0}: The proportion of customers satisfied with the service they receive is 0.80, i.e. p=0.80

H_{a}: The proportion of customers satisfied with the service they receive is different from 0.80, i.e. p\neq 0.80

<u>Decision Rule</u>:

If the <em>p</em>-value of the test is less than the significance level (<em>α</em>) then the null hypothesis may be rejected. But if the <em>p</em>-value  is more than the significance level (<em>α</em>) then we cannot reject the null hypothesis.

<u>Test Statistics:</u>

As the sample size is large, i.e.<em>n</em> = 100 > 30, then according to the central limit theorem sampling distribution of sample proportion will follow the normal distribution.

The test statistic used is:

z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}} {n} }

<u>Given</u>:

The <em>p</em>-value of the hypothesis test is computed to be 0.894.

That is:

p-value=0.894>\alpha =0.05

This implies that we fail to reject the null hypothesis at 5% level of significance.

<u>Conclusion</u>:

The null hypothesis was failed to be rejected at 5% level of significance.

Thus, concluding that the proportion of customers satisfied with the service they receive from the large electric utility company is different from 80%, the claim made by the CEO.

4 0
3 years ago
The length of a rectangle is 2m longer than its width.
blsea [12.9K]

Answer:

35m

Step-by-step explanation:

length = 2+w

width = w

Perimeter = 2(length)+2(width)

24 = 2(2+w)+2(w) =  4+2w+2w = 4+4w

24=4+4w

4w=20

w=5

width =5

length = 2+5 = 7

Area = (length)(width) = 5(7) = 35m

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3 years ago
(-4,-3) and (4,3) distance formula
TEA [102]

Answer:

The answer is 10

3 0
3 years ago
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Last month Margo bought a tree that grows 2.5cm each day. It was 5 cm talk when she bought it and now it is 65 cm tall
Zolol [24]
If it’s asking how old was it when she bought it, it was two days old

if not then you gotta be more specific but i’m gladly able to help if you provide more info

if it’s asking how long it’s been exactly since she bought it then the answer is it has been 26 days
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3 years ago
A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a subur
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Answer:

A 0.01

Step-by-step explanation:

<em>I saw the answer on the internet.</em>

3 0
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