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
anyanavicka [17]
3 years ago
11

Medical scientists study the effect of acute infection on tissue-specific immunity. In a collection of experiments under the sam

e conditions, 44 of 75 mice test positive for lymphadenopathy. Compute a 95% confidence interval for the true proportion of mice that will test positive under similar conditions.
Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

The 95% confidence interval  for the true proportion of mice that will test positive under similar conditions is (0.5291, 0.6429).

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

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

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

In a collection of experiments under the same conditions, 44 of 75 mice test positive for lymphadenopathy. This means that n = 75 and \pi = \frac{44}{75} = 0.586.

Compute a 95% confidence interval for the true proportion of mice that will test positive under similar conditions.

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

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.586 - 1.96\sqrt{\frac{0.586*0.414}{75}} = 0.5291

The upper limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.586 + 1.96\sqrt{\frac{0.586*0.414}{75}} = 0.6429

The 95% confidence interval  for the true proportion of mice that will test positive under similar conditions is (0.5291, 0.6429).

You might be interested in
Sandy has several pitchers to hold lemonade for The School bake sale two pitchers can hold 64 ounces each and four pitchers can
anastassius [24]
320 is the total ounces her pitchers can hold.
4 0
3 years ago
Read 2 more answers
36.2 rounding to the nearest tenth​
guapka [62]

This is what I found

Step-by-step explanation: To round 36.2 to the nearest tenth consider the hundredths' value of 36.2, which is 0 and equal or more than 5. Therefore, the tenths value of 36.2 increases by 1 to 3.

7 0
2 years ago
A large dump truck uses 1,318 gallons of fuel in one day of work. How many gallons of fuel are needed if the truck works for 5 d
Andreyy89

Answer:

6,590 Gallons

Step-by-step explanation:

1,318 x 5 = <em>x</em>

<em>x</em> = 6,590

5 0
3 years ago
Read 2 more answers
Marcos drops a bouncy ball from a hieght of 40 feet. The ball loses 10% of its maximum height on each bounce. How high will it b
iren [92.7K]
I think after the 9th bounce it will lose 90% of its max height 

times 40 by 0.9 which will give you 36 
then take 36 away from 40 leaving you with 4. 


answer = 4ft 
4 0
3 years ago
Write 700/200 as a terminating decimal
Zolol [24]
700/200 as a terminating decimal is 3.5
8 0
3 years ago
Other questions:
  • I will give you brainliest :) Which of the following values are in the domain of the function graphed below? Check all that appl
    12·1 answer
  • Evaluate the expression below for x =4 and y = 5.
    13·1 answer
  • How do I solve this
    8·1 answer
  • LS
    8·1 answer
  • Carey is trying to decide between two guitars. The first had an original price of $160, but is on sale for $100. The second had
    15·2 answers
  • What is the area of a circle with the radius as 6 use 3.14
    9·1 answer
  • How does the length of the hypotenuse in a right triangle compare to the lengths of the legs?
    6·2 answers
  • Hello pls help meeee
    7·1 answer
  • I NEED HELP PLEASE!!!
    5·1 answer
  • 59. In the given figure, O is the centre of circle, XY || BC, what is the value of x?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!