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
Kamila [148]
3 years ago
8

Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. a

dults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places.
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0

Answer:

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

For this case we know this:

n=37 ,  p=0.2

We can find the standard error like this:

SE = \sqrt{\frac{\hat p (1-\hat p)}{n}}= \sqrt{\frac{0.2*0.8}{37}}= 0.0658

So then our random variable can be described as:

p \sim N(0.2, 0.0658)

Let's suppose that the question on this case is find the probability that the population proportion would be higher than 0.4:

P(p>0.4)

We can use the z score given by:

z = \frac{p -\mu_p}{SE_p}

And using this we got this:

P(p>0.4) = 1-P(z< \frac{0.4-0.2}{0.0658}) = 1-P(z

And we can find this probability using the Ti 84 on this way:

2nd> VARS> DISTR > normalcdf

And the code that we need to use for this case would be:

1-normalcdf(-1000, 3.04; 0;1)

Or equivalently we can use:

1-normalcdf(-1000, 0.4; 0.2;0.0658)

Step-by-step explanation:

We need to check if we can use the normal approximation:

np = 37 *0.2 = 7.4 \geq 5

n(1-p) = 37*0.8 = 29.6\geq 5

We assume independence on each event and a random sampling method so we can conclude that we can use the normal approximation and then ,the population proportion have the following distribution :

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

For this case we know this:

n=37 ,  p=0.2

We can find the standard error like this:

SE = \sqrt{\frac{\hat p (1-\hat p)}{n}}= \sqrt{\frac{0.2*0.8}{37}}= 0.0658

So then our random variable can be described as:

p \sim N(0.2, 0.0658)

Let's suppose that the question on this case is find the probability that the population proportion would be higher than 0.4:

P(p>0.4)

We can use the z score given by:

z = \frac{p -\mu_p}{SE_p}

And using this we got this:

P(p>0.4) = 1-P(z< \frac{0.4-0.2}{0.0658}) = 1-P(z

And we can find this probability using the Ti 84 on this way:

2nd> VARS> DISTR > normalcdf

And the code that we need to use for this case would be:

1-normalcdf(-1000, 3.04; 0;1)

Or equivalently we can use:

1-normalcdf(-1000, 0.4; 0.2;0.0658)

You might be interested in
What is the slope of the line given by the equation y=-7X? O A 7 OB. 7 O c. -7 O D. 7​
Anna007 [38]

Answer:

C. -7

Step-by-step explanation:

See the picture for steps :)

6 0
2 years ago
Can anyone help me with this?
Iteru [2.4K]

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>⤴</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em> </em><em>.</em><em>.</em>

3 0
3 years ago
Pls HELP I WILL GIVE U BRAINLESSSSST
Lynna [10]

Answer:

pay back oh pay back, i warned you i would do it back

Step-by-step explanation:

6 0
3 years ago
Ram,raju and ravi can finish the running competition on circular track in 15 mins,20mins and 30mins respectively .If they start
OlgaM077 [116]
About 8:00 is when they will all have met up ram will have ran 4 laps raju will have ran 3 laps and ravi will have ran 2 laps
5 0
3 years ago
Help me please I’m behind
BaLLatris [955]

Answer:

1. D 2.A 3.D 4.D

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Tia equally shares 8 cookies among 4 friends. Which fraction shows how many cookies each person gets.
    11·1 answer
  • To make lemonade, you used one quart of water, one pint of lemon juice, and 9 ounces of your secret ingredient: honey. How much
    6·2 answers
  • Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviat
    14·1 answer
  • What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
    9·1 answer
  • PLEASE HELP!!!!!!! IM BEING TIMED
    9·1 answer
  • Explain why 10÷4 = 10/4.
    7·2 answers
  • carlos and Jacob each improve their yards by planting daylilies and ivy. They bought their supplies from the same stores. Carlos
    9·1 answer
  • Please help due in an hour
    7·1 answer
  • **ANSWER NEEDED FAST** (giving brainliest) Heres the question ;; In a Honeycomb Path puzzle, the goal is to fill every empty hex
    14·2 answers
  • Solve for d.<br> 41 = 12 d _ 7<br> d
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!