A political pollster is engaged by a politician to estimate the propor- tion of registered voters in her district who plan to vote for her in the next election. Find the sample size needed if she wants, with at least 95% confidence, the poll to be accurate to within a) 8 percentage points; b) 2 percentage points. (Let p 0.1.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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9. A political pollster is engaged by a politician to estimate the propor-
tion of registered voters in her district who plan to vote for her in the
next election. Find the sample size needed if she wants, with at least
95% confidence, the poll to be accurate to within
a) 8 percentage points;
b) 2 percentage points.
(Let p 0.1.)
10. Repeat Exercise 9 with p 0.5. Comment on the differences you find.
11. The reaction of an individual to a stimulus in a psychological exper-
iment may take one of two forms, A or B. If an experimenter wishes
to estimate the probability p that a person will react in manner A,
how many people must be included in the experiment? Assume that
the experimenter will be satisfied if the error of estimation is less than
0.04 with probability equal to 0.9. Assume also that he expects p to
lie in the neighbourhood of of 0.6.
Two pODulations of measurements are normally distributed with a
Transcribed Image Text:9. A political pollster is engaged by a politician to estimate the propor- tion of registered voters in her district who plan to vote for her in the next election. Find the sample size needed if she wants, with at least 95% confidence, the poll to be accurate to within a) 8 percentage points; b) 2 percentage points. (Let p 0.1.) 10. Repeat Exercise 9 with p 0.5. Comment on the differences you find. 11. The reaction of an individual to a stimulus in a psychological exper- iment may take one of two forms, A or B. If an experimenter wishes to estimate the probability p that a person will react in manner A, how many people must be included in the experiment? Assume that the experimenter will be satisfied if the error of estimation is less than 0.04 with probability equal to 0.9. Assume also that he expects p to lie in the neighbourhood of of 0.6. Two pODulations of measurements are normally distributed with a
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