Concept explainers
(a)
To calculate: The confidence level of the survey.
(a)
Answer to Problem 48E
The confidence level is87.88%.
Explanation of Solution
Given information:
Sample size
Margin of error
Total population
Formula used:
Sample proportion
Margin of error
Calculation:
Findthe sample proportion
Now, find the margin of error, use the formula
Margin of error is 1%.
Convert 1% into decimal.
Substitute 0.01 for E in equation (1).
Calculate theconfidence level, use table A.
Thus the confidence level is 0.8788.
Convert 0.8788 into percentage.
Hence, the required confidence level is 87.88%.
(b)
Explain the difficulties that affect the results of the survey.
(b)
Answer to Problem 48E
Nonresponse bias can affectthe results of the survey.
Explanation of Solution
There are three practical difficulties that can lead to biased result in any survey. These are selection bias, response bias and nonresponse bias.
From the statement it is not sure that the number of samples which contain data and the number of samples does not contain any data. Thus, the result cannot be generalized. Since, nonresponse bias is the result of having insufficient data for the sample
Hence, nonresponse bias can lead to biased results for this survey.
Chapter 8 Solutions
The Practice of Statistics for AP - 4th Edition
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