A sample of 1200 people is to be used to estimate the proportion of left-handed

Question

A sample of 1200 people is to be used to estimate the proportion of left-handed people. Suppose the true proportion of left handed people in the population is 12% (which is unknown to the organizers of the observational study) 1. What is the probability that as a result of the survey, the estimate will differ by more than 2% from the true value 12%? Use the normal approximation to solve this problem 0.033 (1 point) Correct 2. What should be the minimal sample size to guarantee that the obtained estimate doesn't differ by more than 2% from the true value 12% with probability at least 99%? 6 (1 point) Incorrect

Explanation / Answer

2)

here margin of error E = 0.02 for99% CI crtiical Z          = 2.5758 estimated proportion=p= 0.12 required sample size n =         p*(1-p)*(z/E)2= 1752.00

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