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
VladimirAG [237]
3 years ago
5

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden

ce interval used to estimate the population proportion.
Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

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 level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

M = 0.0209

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

You might be interested in
What is the 75th term of the arithmetic sequence -1, 5, 11
lana [24]

Answer:

75th term = 443

Step-by-step explanation:

a_{n}=a_{1}+d(n-1) \\a_{n}=-1+6(n-1) \\a_{75}=-1+6(75-1) \\a_{75}=-1+6(74)\\a_{75}=-1+444\\a_{75}=443 \\\\

7 0
3 years ago
Where do you find a vertical shift in the exponential parent function?
Montano1993 [528]

For the given expressions we will have:

y = exp(x - 4)   →we have a shift of 4 units to the right.

y = exp (x +9)  → we have a shift of 9 units to the left.

y = exp(x) + 7 → we have a shift of 7 units up.

y = exp(x) - 6  → we have a shift of 6 units down.

<h3>How to work with vertical and horizontal shifts?</h3>

Remember that the shifts work as follows.

For a function f(x), we define a vertical shift of N units as:

g(x) = f(x) + N

  • If N > 0, the shift is upwards.
  • If N < 0, the shift is downwards.

For a function f(x), we define a horizontal shift of N units as:

g(x) = f(x + N)

  • If N > 0, the shift is to the left.
  • If N < 0, the shift is to the right.

Then, if we have:

exp(x - 4) we have a shift of 4 units to the right.

exp (x +9) we have a shift of 9 units to the left.

exp(x) + 7 we have a shift of 7 units up.

exp(x) - 6  we have a shift of 6 units down.

Learn more about translations

brainly.com/question/24850937

#SPJ1

4 0
1 year ago
Channing jogs 10 miles a week.how many miles will she jog in 52 weeks
hichkok12 [17]
The total miles are given by multiplying the miles per week and the number of weeks:
total = 10*52 = 520
so the total miles she will jog are 520 miles
8 0
3 years ago
Read 2 more answers
Simplify 5 cube root of 72
goldenfox [79]
The answer is 2.35215804
4 0
3 years ago
5. At Euclid Middle School, of the 30 girls who tried out for the lacrosse team, 12 were selected and of the 40 boys who tried o
kondaur [170]
For the girls:

12:30

Simplifying it, we get:

6: 15
2: 5

For the boys:

16:40

Simplifying it, we get:

8:20
4:10
2:5

So yes, the ratios are both the same for boys and girls.
4 0
3 years ago
Other questions:
  • Jordan cuts a large piece of paper in half. Then she cuts each smaller piece of paper in half. If Jordan repeats this pattern 15
    15·1 answer
  • How to find the first 4 terms of a sequence
    11·1 answer
  • Ron Prentice bought goods from Shelly Katz. On Feb. 26, Shelly gave Ron a time extension on his bill by accepting a $4,400, 6%,
    7·1 answer
  • Write an equivalent expression by distributing the "-−" sign outside the parentheses:
    9·1 answer
  • The question is in the picture below <br> Please help quickly!!
    8·1 answer
  • Need help. Please show work.
    10·1 answer
  • If X &gt; 0 and y &gt; 0 , then which quadrant holds the solutions ?
    12·1 answer
  • An airplane 40,000 feet above the ground begins descending at a rate of 1,500 feet per minute. Write an equation to model the si
    9·1 answer
  • 6th grade math help me please :(
    6·1 answer
  • Harold’s balance in his savings account was $10,000. The savings account earns annual simple interest. At the end of 3 years, th
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!