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klio [65]
3 years ago
11

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-ciga

rette) in the past week.
Calculate the sample proportion of Americans ages 18-29 who vaped in the past week. Round this value to four decimal places.
Using the sample proportion obtained in (a), construct a 90% confidence interval to estimate the population proportion of Americans age 18-29 who vaped in the past week. Please do this "by hand" using the formula and showing your work (please type your work, no images accepted here). Round your confidence limits to four decimal places.
Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

The 90% confidence interval is (0.1897, 0.2285).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

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

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week. This means that n = 1186, \pi = \frac{248}{1186} = 0.2091

Construct a 90% confidence interval to estimate the population proportion of Americans age 18-29 who vaped in the past week.

So \alpha = 0.10 , z is the value of Z that has a pvalue of 1 - \frac{0.10}{2} = 0.95, so z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 - 1.645\sqrt{\frac{0.2091*0.7909}{1186}} = 0.1897

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 + 1.645\sqrt{\frac{0.2091*0.7909}= 0.2285

The 90% confidence interval is (0.1897, 0.2285).

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BaLLatris [955]

Answer:

(3 ± √23 * i) /4

Step-by-step explanation:

To solve this, we can apply the Quadratic Equation.

In an equation of form ax²+bx+c = 0, we can solve for x by applying the Quadratic Equation, or x = (-b ± √(b²-4ac))/(2a)

Matching up values, a is what's multiplied by x², b is what's multiplied by x, and c is the constant, so a = 2, b = -3, and c = 4

Plugging these values into our equation, we get

x = (-b ± √(b²-4ac))/(2a)

x = (-(-3) ± √(3²-4(2)(4)))/(2(2))

= (3 ± √(9-32))/4

= (3 ± √(-23))/4

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6 0
3 years ago
Which of these is the algebraic expression for some number to the power five
DochEvi [55]

Answer:

x^5

Step-by-step explanation:

x raised to the power 5 is written as

6 0
3 years ago
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Vesna [10]
The awnser is (3,0)
8 0
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Question part points submissions used as a science project, you drop a watermelon off the top of the empire state building, 320
Nataly [62]
We are given a watermelon dropped at free fall from a building 320 meters above the sidewalk. Superman is headed down at 30 meters per second. We are asked to determine how fast is the watermelon going when it passes Superman. To solve for the final velocity of the watermelon, we will use one of the kinematic equations (free fall):

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we also need to set-up another equation using the distance:

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8 0
3 years ago
5. What is the solution to the equation -2.5(x-4)=-3x+4?​
lana66690 [7]

Answer:

x = -12

Step-by-step explanation:

-2.5(x-4)=-3x+4

Distribute

-2.5x +10 = -3x +4

Add 3x to each side

-2.5x+10 +3x = -3x+4+3x

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Subtract 10 from each side

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.5x = -6

Divide by .5

.5x/.5 = -6/.5

x = -12

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3 years ago
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