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
Vikentia [17]
3 years ago
12

2. Two researchers, Beth and Frank, ask a random sample of teenagers whether or not they had

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0

Answer:

Frank's confidence interval, (.75, .89) has to be wrong.

The explanation is presented below.

Step-by-step explanation:

The Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the mean.

So, a sample proportion of 80% indicates that Beth's interval of (.73, .87) gives a margin of error of 7%.

Making the lower limit of the interval be

(Sample proportion) - (Margin of error) = 80 - 7 = 73%

Upper limit of the interval = (Sample proportion) + (Margin of error) = 80 + 7 = 87%

Hence, this confidence interval is plausible for the survey carried out.

But Frank's interval of (.75, .89) doesn't work with the definition of a confidence interval given above. The range has to be equally spread around the mean with (lower limit, upper limit). The lower limit cannot be 75 and the upper limit 89.

If the lower limit is truly 75, the margin of error has to be (80 - 75), 5%. And the corresponding upper limit should be (80 + 5), 85%.

Frank's interval as (.75, .85) would have been more plausible.

And if the upper limit is truly 89%, the fiitting lower limit, judging by the distance of the upper limit from the sample proportion (89 - 80 = 9%), should be (80 - 9), 71%. Frank's interval as (.71, .89) would also have been more plausible.

Hope this Helps!!!

You might be interested in
The function f(x)=3g(x). Which of the following shows possible graphs of f(x) and g(x)?
alukav5142 [94]

Answer:

The answer was graph 2

Step-by-step explanation:

I am horrible at explaining but this is the answer

8 0
3 years ago
Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36
Kamila [148]

A. 2x3=6 and 6x12=72 so 78 is greater than 36

6+72=79 which is less than 90

3 0
3 years ago
Read 2 more answers
A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t
11Alexandr11 [23.1K]

Answer:

  • <u>Question 1:</u>      dm/dt=0.2m<u />

<u />

  • <u>Question 2:</u>     m=Ae^{(0.2t)}<u />

<u />

  • <u>Question 3:</u>      m=10e^{(0.2t)}<u />

<u />

  • <u>Question 4:</u>      m=10g<u />

Explanation:

<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>

<u></u>

a) By definition:  m'=dm/dt

b)  Given:  rate=0.2m

c) By substitution:  dm/dt=0.2m

<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>

a) <u>Separate variables</u>

     dm/m=0.2dt

b)<u> Integrate</u>

           \int dm/m=\int 0.2dt

            ln(m)=0.2t+C

c) <u>Antilogarithm</u>

       m=e^{0.2t+C}

       m=e^{0.2t}\cdot e^C

         e^C=A\\\\m=Ae^{(0.2t)}

<u>Question 3. Which particular solution matches the additional information?</u>

<u></u>

Use the measured rate of 4 grams per hour after 3 hours

            t=3hours,dm/dt=4g/h

First, find the mass at t = 3 hours

            dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g

Now substitute in the general solution of the differential equation, to find A:

          m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976

Round A to 1 significant figure:

  • A = 10.

<u>Particular solution:</u>

           

             m=10e^{(0.2t)}

<u>Question 4. What was the mass of the bacteria at time =0?</u>

Substitute t = 0 in the equation of the particular solution:

         m=10e^{0}\\\\m=10g

3 0
3 years ago
What is the relationship between 0.04 and 0.004
Molodets [167]
0.04 is multiplied 10 times to get 0.004
4 0
3 years ago
I need help badly someone help me please no links or I will report you
Tom [10]

Answer:

Child bye

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Can anyone help??? I’m stuck
    9·2 answers
  • You are 10 years old and have $500 to put in the bank to save for college. You will earn 5% simple interest rate. If you leave i
    12·1 answer
  • Plz help me ... thanks
    7·1 answer
  • A student measures the volume of a liquid and finds it to be 40 mL. How many significant figures are in the measurement?
    7·2 answers
  • Which expression represents the output when the input is m?
    14·1 answer
  • Jeff stated that subtraction and negative are the same thing. Do you agree?
    9·2 answers
  • Find the value of x^2 + 1 divided by x^2 if x-1 divided by x =5
    14·1 answer
  • Which of the following states the law of universal gravitation?
    5·2 answers
  • Find which fraction is larger 3/12 ,2/6 ,1/24​
    11·2 answers
  • If a tiger can run 500 miles in 10 hours. What is its hourly speed rate or How many miles can it run for an hour?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!