1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Assoli18 [71]
3 years ago
7

The National Health Interview Survey conducted of 33,326 adults by the U.S. National Center for Health Statistics in 2003 indica

ted that 21.4% of adults were current smokers. A similar study conducted in 1991 of 42,000 adults indicated that 25.6% were current smokers. We will use the subscript "1" for the year 1991 and the subscript "2" for the year 2003. (a) Find a point estimate of the difference between the proportion of current smokers in 1991 and the proportion of current smokers in 2003. Use 3 decimal places.
Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer: 0.042

Step-by-step explanation:

Point estimate of the difference between the two population proportion p_x-p_y :-

\hat{p}_x-\hat{p}_y , where \hat{p}_x and \hat{p}_y are sample proportions.

Given : In 1991 survey , The proportion of adults were current smokers =25.6%

i.e. \hat{p}_x=0.256

In 2003 survey , The proportion of adults were current smokers = 21.4%

i.e. \hat{p}_y=0.214

Then , the point estimate of the difference between the proportion of current smokers in 1991 and the proportion of current smokers in 2003 :-

\hat{p}_x-\hat{p}_y=0.256-0.214=0.042

Hence, a point estimate of the difference between the proportion of current smokers in 1991 and the proportion of current smokers in 2003= 0.042

You might be interested in
Find f(-11/5) if f(n) = 5n + 6
V125BC [204]

Answer:

f(-11/5) = -5

Step-by-step explanation:

f(n) = 5n + 6

Let x = -11/5

f(-11/5) = 5*-11/5 +6

          = -11 +6

           = -5

5 0
3 years ago
A bus covers a distance of 2.45 km in 2 min. What is the speed of bus?​
Vladimir [108]

Answer:

The speed of the bus is 74.242 kilometers per hour.

Step-by-step explanation:

Let suppose that bus runs at constant speed and that speed is measured in kilometers per hour. Then, the speed of the bus (v), in kiometers per hour, is determined by following kinematic expression:

v = \frac{s}{t} (1)

Where:

s - Travelled distance, in kilometers.

t - Time, in hours.

If we know that s = 2.45\,km and t = 0.033\,h, then the speed of the bus is:

v = \frac{s}{t}

v = 74.242\,\frac{km}{h}

The speed of the bus is 74.242 kilometers per hour.

7 0
3 years ago
In many parades, flowers are used to decorate the floats. The table below shows the number of flowers used in each row of a para
inessss [21]

Answer: C.  n = 4r + 50

Step-by-step explanation:

The equation is in the form: y =mx + c

y is the number of flowers used.

x is the row number.

Solving for m. Pick any two points. (1, 54) and (2, 58)

m = (Y₂ - Y₁) / (X₂ - X₁)

= (58 - 54) / (2 - 1)

= 4

Solving for c. Use a point to fill up the formula and find c; (1, 54)

y = mx + c

54 = 4 * 1 + c

c = 54 - 4

c = 50

Formula will therefore be;

y = 4x + 50

or;

n = 4r + 50

5 0
2 years ago
Determine the location and values of the absolute maximum and absolute minimum for given function : f(x)=(‐x+2)4,where 0<×&lt
brilliants [131]

Answer:

Where 0 < x < 3

The location of the local minimum, is (2, 0)

The location of the local maximum is at (0, 16)

Step-by-step explanation:

The given function is f(x) = (x + 2)⁴

The range of the minimum = 0 < x < 3

At a local minimum/maximum values, we have;

f'(x) = \dfrac{(-x + 2)^4}{dx}  = -4 \cdot (-x + 2)^3 = 0

∴ (-x + 2)³ = 0

x = 2

f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx}  = -12 \cdot (-x + 2)^2

When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2

We have, f(2) = (-2 + 2)⁴ = 0

The location of the local minimum, is (2, 0)

Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3

When x = 0, -x + 2 = 0 + 2 = 2

Similarly, we have;

-x + 2 = 1, when x = 1

-x + 2 = 0, when x = 2

-x + 2 = -1, when x = 3

Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16

The location of the local maximum is at (0, 16).

5 0
3 years ago
Full‐me Ph.D. students receive an average of $12,837 per year. If the
Pavlova-9 [17]

Answer:

.0022

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • The Cat is a​ high-speed catamaran auto ferry that operates between city A and city B. The Cat can make the 144​-mile trip in ab
    14·2 answers
  • Which of the following would be equivalent to <img src="https://tex.z-dn.net/?f=3%5E%7B2%7D" id="TexFormula1" title="3^{2}" alt=
    10·1 answer
  • Perform the indicated operation<br>7+9+(4)<br>20<br>20<br>O12<br>O-12​
    15·1 answer
  • Clarence set his watch 16 seconds behind , and it falls behind 2 seconds every day . How many days behind has it been since Clar
    11·2 answers
  • Find an equation for the linear function which has slope -10 and x-intercept -7
    15·1 answer
  • At a rodeo full with cowboys and horses someone counted 26 legs and 9 heads how many cowboys and horses were at the rodeo
    8·1 answer
  • Michael thought he could only run 5 laps around the track but he was actually able to run 8 laps what was his percent error
    10·1 answer
  • John is 5 feet 10 inches tall. There are 2.54 centimeters in 1 inch.
    8·2 answers
  • What is the value of <br> this expression? [2x(3x5)+6]x4
    10·2 answers
  • HELP NO LINKS PLS PLS
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!