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7.3 (9) Basic Computation, Sample Size. What is the minimal sample size needed for a 95%...

7.3 (9) Basic Computation, Sample Size. What is the minimal sample size needed for a 95% confidence interval to have a maximal margin of error of 0.1.
a) If a preliminary estimate of p is 0.25?
b) If there is no preliminar6 estimate for p?

Never mind I got the answer. Thank you

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Answer #1

a)

here margin of error E = 0.100
for95% CI crtiical Z          = 1.960
estimated proportion=p= 0.250
required sample size n =         p*(1-p)*(z/E)2= 73.00

b)

here margin of error E = 0.100
for95% CI crtiical Z          = 1.960
estimated proportion=p= 0.500
required sample size n =         p*(1-p)*(z/E)2= 97.00
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