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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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Write three consecutive multiples of 13 in a general form.
S_A_V [24]

Answer:

answer given in step by step...

Step-by-step explanation:

13x+13(x+1)+13(x+2)=312

13x+13x+13+13x+26=312

39x+39=312

39x=312-39

39x=273

x=7

first number=13x=13*7=91

second number=13(8)=104

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5 0
3 years ago
Line ℓ1 has the equation
aleksley [76]

Answer:

\sqrt{2} units

Step-by-step explanation:

The Line 1 has equation x + y = 5 ....... (1) , and  

Line 2 has equation x + y = 3 .......... (2)

Now, we have to find the perpendicular distance between line 1 and line 2.

We can say that (3,0) is a point on line 2 as it satisfies the equation (2).

Now, the perpendicular distance from point (3,0) to the line 1 will be given by the formula

\frac{|3 + 0 - 5|}{\sqrt{1^{2}+ 1^{2}}} = \frac{2}{\sqrt{2}} = \sqrt{2} units (Answer)

We know that the perpendicular distance from any external point (x_{1},y_{1}) to a given straight line ax + by + c = 0 is given by the formula \frac{|ax_{1} + by_{1} + c|}{\sqrt{a^{2} + b^{2}}}.

3 0
3 years ago
In a newspaper, it was reported that the number of yearly robberies in Springfield in
scoundrel [369]

Answer:

32 robberies

Step-by-step explanation:

To find the amount here, divide 64 by 2 (or multiply by 1/2).

64 / 2

How many times does 2 go into 6? (3)

3-

4 / 2

How many times does 2 go into 4? (2)

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7 0
3 years ago
What is the value of x?
IRISSAK [1]

Answer:

x = 1

Step-by-step explanation:

Note that the two lines are of equal length

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7 0
2 years ago
Read 2 more answers
Can someone help me out pleaseeeee?
andre [41]
It starts just a bit greater than -3 at -14/5. 
It moves in the positive direction 3 units. 
3 0
3 years ago
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