Question

In: Statistics and Probability

A recent survey found that 22% of all people 16 years of age and older do...

A recent survey found that 22% of all people 16 years of age and older do volunteer work. Suppose a random sample of 350 people 16 years of age and older is taken. What is the probability that more than 24% of the people in the sample do volunteer work?

a) 0.1894

b) 0.8106

c) 0.1841

d) 0.8159

Solutions

Expert Solution

Solution

Given that,

p = 22% = 0.22

1 - p = 1 - 0.22 = 0.78

n = 350

= p = 0.22

=  p ( 1 - p ) / n

=   (0.22 * 0.78) / 350 = 0.0221

= 0.0221

P( > 0.24) = 1 - P( < 0.24)

= 1 - P(( - ) / < (0.24 - 0.22) / 0.0221)

= 1 - P(z < 0.90)

= 1 - 0.8159

= 0.1841

Probability = 0.1841

orchestra answered 3 years ago
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