Provide an appropriate response.
-A pollster wishes to estimate the number of left-handed scientists. How large a sample is needed in order to be 99% confident that the sample proportion will not differ from the true proportion by more than 6% A previous study indicates that the proportion of left-handed scientists is 9%.
A) 151
B) 124
C) 166
D) 47

Question

Quizplus · Accepted Answer

The sample size needed is 151. This is calculated using the formula n = (Z^2 * p * q) / e^2, where Z is the z-score for the desired confidence level (99% = 2.576), p is the estimated proportion of left-handed scientists (0.09), q is the complement of p (1 - p = 0.91), and e is the margin of error (0.06).

Provide an Appropriate Response