Answer: aA 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years = (0.163,0.189)

Step-by-step explanation:

Let p = population proportion of adults in the U.S. who have donated blood in the past two years.

Given: A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years.

Sample size: n= 2322

Sample proportion $q=\dfrac{408}{2322}=0.176$

Critical z-value for 90% confidence level : z*=1.645

The confidence interval for population proportion:

$q\pm z^*(\sqrt{\dfrac{q(1-q)}{n}})$

A 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years:

$0.176\pm (1.645)(\sqrt{\dfrac{0.176(1-0.176)}{2322}})\\\\=0.176\pm (1.645)(0.0079)\\\\=(0.176\pm0.013)\\\\=(0.176-0.013,0.176+0.013))\\\\=(0.163,0.189)$

Hence,

6 0

3 years ago

This semicircle has a diameter of 5 m.

Mumz [18]

3.93 is the correct answer.
I hope this helps.

8 0

3 years ago

Read 2 more answers

How many solutions does the system have?

Novay_Z [31]

Answer:

none

Step-by-step explanation:

to solve this equation we would say that

let

x + y = 5 .............................. equation 1

x + y = 6 .................................... equation 2

from equation 2

x + y = 6 .................................... equation 2

x = 6 -y...................................... equation 3

substitute for x into equation 1

x + y = 5 .............................. equation 1

6 - y + y = 5

from here this equation cannot be solved further therefore it has no solution.

6 0

3 years ago