Concept explainers
(a)
To calculate: The total
(a)
Answer to Problem 44E
The required sample size is1816.
Explanation of Solution
Given information:
Margin of error
Sample proportion
Confidence interval = 90%
Formula used:
Sample size
Calculation:
Confidence interval is 99%.
Convert 99% into decimal.
For confidence interval 0.99, use table A.
Sample proportion
Convert 44% into decimal.
Now, find the sample size. Use the formula
Hence, the required sample size is 1816.
(b)
To calculate: The difference of the sample size when
(b)
Answer to Problem 44E
The sample size is increased by 105 when the guessed value
Explanation of Solution
Given information:
Margin of error
Sample proportion
Confidence interval = 99%
Formula used:
Sample size
Calculation:
Confidence interval is 99%.
Convert 99% into decimal.
For confidence interval 0.99, use table A.
From part(a) sample size n=1816
Calculate the new sample size. Use the formula
Thus, the new sample size is 1842.
For difference between the sample sizes,subtract
Hence, the sample size is increased by 26.
Chapter 8 Solutions
The Practice of Statistics for AP - 4th Edition
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Introductory Statistics
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