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
BaLLatris [955]
3 years ago
6

I NEED HELP ASAP

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
4 0

Answer:

It is not reasonable that the state education department claims the percentage for the entire state is 73%.

Step-by-step explanation:

We are given that 191 of the 288 high school students surveyed at a local school said they went outside more during school hours as elementary school students than they do now as high school students.

Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;

                         P.Q.  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of high school students who went outside more during school hours as elementary school students than they do now as high school students =  \frac{191}{288} = 0.66

           n = sample of high school students = 288

            p = population percentage for the entire state

<em> Here for constructing a 90% confidence interval we have used a One-sample z-test for proportions. </em>

<em> </em>

The margin of error is given by;

       M.E.  =  2 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }

                =  2 \times \sqrt{\frac{0.66(1-0.66)}{288} }

      M.E.  =  0.056 or 5.6%

So, the confidence interval so formed = \hat p \pm \text{Margin of error}

                                                                = [0.66 - 0.056 , 0.66 + 0.056]

                                                                = [0.604, 0.716]

Since the above interval does not include 0.73 or the population proportion of 73% falls outside the above interval. So, it is not reasonable that the state education department claims the percentage for the entire state is 73%.

You might be interested in
When Θ = 5 pi over 6, what are the reference angle and the sign values for sine, cosine, and tangent?
nikklg [1K]
Ф =5π/6
The reference angle is the smallest angle that the terminal side of the angle makes with the x-axis.

Given that here π/2 < Ф < π, the angle is in the second quadrant.

In the second quadrant the signs are:

sine positive
cosine negative
tangent negative.

Furthermore, the reference angle is π - Ф = π - 5π/6 = π/6.

Then,

sin Ф = sin π/6 = 1/2
cos Ф = - cos π/6 = -√(3) / 2
tan Ф = - tan π/6 = -√(3) /3
7 0
3 years ago
Randy and Stacy used models to find 0.3 of 0.5.Whoses model make sense who's doesn't. Look at the picture down below.
amid [387]
Randy's problem makes sense and Stacy's problem doesn't ( I'm doing that problem too xD)
4 0
3 years ago
recent research indicated that about 20% of british children are deficient in vitamin d. suppose doctors test a group of element
blsea [12.9K]

If about 20% of British children are deficient in vitamin and doctors test a group of elementary school children, the probability that the first vitamin d-deficient child is the 8th one tested is 4.19% determined using geometric distribution formula.

In probability and statistics, geometric distribution refers to the probability that first success would occurs after n number of trials and is given by:

P(X)=q^(x-1)p

Where p is the probability of success and q is (1-p)

In this case,

p=probability of children deficient in vitamin= 0.2

q= probability of children not deficient in vitamin= 0.8

Hence,

P(8)=0.8^(8-1)*0.2= 0.0419

Hence, the probability that 8th child is deficient is 4.19%

Learn more about geometric distribution:

brainly.com/question/14957440

#SPJ4

8 0
1 year ago
During which phase were no faults introduced?
dybincka [34]

Step-by-step explanation:

phase 4 had no faults introduced

4 0
3 years ago
How do you graph -x+y&gt;5
AveGali [126]

-x + y > 5      <em>add x to bot sides</em>

y > x + 5 → y = x + 5

for x = 0 → y = 0 + 5 = 5 → (0, 5)

for x = -5 → y = -5 + 5 = 0 → (-5, 0)

The dotted line (sign >, not ≥).

We shade above the line (y > ...).

8 0
3 years ago
Other questions:
  • There are 132 fire stations in Miwok. There are 742,236 homes in this huge city. If the fire stations are responsible for an equ
    13·2 answers
  • The table shows the wavelength of the sound produced by keys on a piano x keys away from the A above middle C.
    8·2 answers
  • Dan bought a stereo at a 15% discount. the original price was $350.00. how much money did Dan save?
    8·2 answers
  • What is the answer to x + 2 = 9
    8·2 answers
  • A living room has a circular rug. According to a small tag, the rug has a circumference of 6.28 yards. What is the rug's area?
    6·1 answer
  • Sugar expert last year was reduced by 20% from a total of 40000 tonnes. What was the previous years expert?​
    12·1 answer
  • Find the volume of the solid. Round to the nearest tenth if necessary.
    5·1 answer
  • Find the area of the isosceles triangle.
    5·1 answer
  • By what percent did the enrollment increase from 2012 to 2014? 2012, 190. 2014, 285.
    14·1 answer
  • Simplify this expression.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!