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3 years ago

50 POINTS

Mathematics

1 answer:

avanturin [10]3 years ago

3 0

Answer:

) Draw a tree diagram showing the possibilities for each outcome.

Step-by-step explanation:

i think

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Le Saveu The UL health centre is giving a Pfizer vaccine to the surrounding community members of the 100 people who were vaccina

enot [183]

Using confidence interval concepts, it is found that the incorrect statement is given by:

B. The population proportion is 0.80.

In a sample of n people with a proportion of $\pi$ , and a confidence level of $1-\alpha$ , we the confidence interval for the proportion is:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

80 developed immunity out of 100, thus, the sample proportion is:

$\pi = \frac{80}{100} = 0.8$

Option A is correct.

The standard error is:

$s = \sqrt{\frac{\pi(1-\pi)}{n}}$

Considering $n = 100$

$s = \sqrt{\frac{0.8(0.2)}{100}} = 0.04$

Thus, statement E is correct.

90% confidence level, thus the critical value is the value of z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $z = 1.645$ , which means that statement D is correct.

The margin of error is:

$M = zs = 1.645(0.04) = 0.0658$

Thus, statement C is correct, which leaves B as the false statement, as we have the sample proportion, and we can only estimate, not guarantee the population proportion.

A similar problem is gien at brainly.com/question/16807970

5 0

3 years ago

The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that

Vinvika [58]

Answer:

Population in 1998 year = 6.22 billion

Step-by-step explanation:

Given:-

- The population in year 1987, Po = 5 billion

- Growth rate, r = 2%

- World population follows an exponential growth model

Find:-

The projected world population in 1998.

Solution:-

- The exponential growth model is mathematically expressed as:

Population in x year = Po* ( 1 + r/100)^( x - xo )

Where, xo: The base year.

- Plug in the values and solve for the projected population in year 1998:

Population in 1998 year = 5,000,000,000* ( 1 + 2/100)^( 1998 - 1987 )

Population in 1998 year = 5,000,000,000* ( 1 + 0.02)^( 11 )

= 5,000,000,000* ( 1.02 )^( 11 )

= 6.22 billion

8 0

3 years ago

Read 2 more answers

if you found the percent of a number and the product is greater than the number, what do you know about the percent? explain.

Ket [755]

Well you can see it would be mixed number and it is not a number less than 1

5 0

3 years ago

Jamie is getting a new fence around her pool the pool space in a perfect square with an area of 400 square feet if the fencing s

Svet_ta [14]

Answer:

57 dollars and 14 or 15 cents

Step-by-step explanation:

400 divided by 7

4 0

3 years ago

Which reason is incorrect?

Tanzania [10]

The last one is incorrect. The correct answer is division. They divided 9 on both sides.

8 0

3 years ago

Read 2 more answers