(a)
To calculate: The total
(a)
Answer to Problem 43E
The sample size of 318.has tested PTC when the sample proportion
Explanation of Solution
Given information:
Margin of error
Guessed value
Confidence interval = 90%
Formula used:
Sample size
Calculation:
Confidence interval is 90%.
Convert 90% into decimal.
For confidence interval 0.90, use table A.
Guessed value
Convert 75% into decimal.
Now, find the sample size. Use the formula
Hence, the sample size is 318.
(b)
To calculate: The difference of the sample size when
(b)
Answer to Problem 43E
The sample size is increased by 105 when the guessed value
Explanation of Solution
Given information:
Margin of error
Sample proportion
Confidence interval = 90%
Formula used:
Sample size
Calculation:
Confidence interval is 90%.
Convert 90% into decimal.
For confidence interval 0.90, use table A.
From part(a) sample size n=318
Find the new sample size. Use the formula
Thus, the new sample size is 423.
For difference between the sample sizes,subtract
Hence, sample size is increased by 105.
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The Practice of Statistics for AP - 4th Edition
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