SOLUTION: It is estimated that approximately 3 percent of the population is affected with the virus that causes HIV. In a random sample of 100 persons calculate;
a. less than 2 percent are
Algebra ->
Probability-and-statistics
-> SOLUTION: It is estimated that approximately 3 percent of the population is affected with the virus that causes HIV. In a random sample of 100 persons calculate;
a. less than 2 percent are
Log On
Question 520781: It is estimated that approximately 3 percent of the population is affected with the virus that causes HIV. In a random sample of 100 persons calculate;
a. less than 2 percent are affected
b. between 2 percent and 4 percent
c. no less than 2 percent of persons are affected
d. 3 percent of persons are affected Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! It is estimated that approximately 3 percent of the population is affected with the virus that causes HIV. In a random sample of 100 persons calculate;
------
p = 0.03 ; q = 0.97
std for groups of 100 = sqrt[pq/n] = sqrt[0.03*0.97/100] = 0.0171
-----
a. less than 2 percent are affected
z(0.02) = (0.02-0.03)/0.0171 = -0.5862
P(p-hat< 0.02) = P(z < -0.5862) = 0.2789
-----------------------------------------------
b. between 2 percent and 4 percent
z(0.04) = (0.04-0.03)/0.0171 = +0.5862
P(0.02 < phat < 0.04) = P(-0.5862< z < +0.5862) = 0.4423
------------------------------------------------
c. no less than 2 percent of persons are affected
P(phat >= 0.02) = P(z >= -0.5862) = 0.7211
----------------------------------------------------
d. 3 percent of persons are affected
P(phat = 0.03) = 0
Why? The probability of ANY particular value
in a continuous distribution is zero.
============================================
Cheers,
Stan H.
=================================
(