Question

For a fair coin toss the probability of Heads is, of course 50%. a.) What is...

For a fair coin toss the probability of Heads is, of course 50%.

a.) What is the standard deviation for the sampling distribution for the sample proportion of Heads in a sample size of n=100?

Answer: ____________.

b.) How large a sample would be required in order to get a standard deviation for less than 0.01?

Answer: ________________.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

Given

p = 50% = 0.5

a)

n = 100 (sample size)

Let be the sample proportion.

The standard deviation for the sampling distribution for the sample proportion is

  =     

=  

= 0.05

Answer : 0.05

b)

Suppose = 0.01

= 0.01

Squaring

p(1 - p)/n = (0.01)2

0.5(1 - 0.5)/n = 0.0001

n = 2500

Answer : 2500

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