Concept explainers
(a)
To calculate: The population proportion when the confidence level is 99%.
(a)
Answer to Problem 35E
The population proportion is from 0.1833 to 0.2027 when the confidence interval is 99%.
Explanation of Solution
Given information:
Confidence level = 99%
Total population = 10904
Formula used:
Calculation:
Calculate the sample proportion use the formula.
Confidence level 99%.
Convert 99% into decimal.
From the table,
To calculate the margin of error,use the formula.
The sample proportion can vary by the amount margin of error. Thus, the confidence that contain true proportion also vary from minimum to maximum sample proportion.
Hence,the amount of confidence interval that contain the true population proportion is from 0.1833 to 0.2027.
(b)
Explain the article that a newspaper claims that 25% of U.S. college students are nondrinkers.
(b)
Explanation of Solution
Given information:
Confidence level = 99%
Sample size = 2105
Total population = 10904
From 35(a) population proportion is from 0.1833 to 0.2027 for the confidence level of 99%.
The newspaper article claims for 25% of sample population but confidence level does not contain the 25%.
Hence,there is a sufficient evidence to rejectthe newspaper claims that 25% of US college student are nondrinkers.
Chapter 8 Solutions
The Practice of Statistics for AP - 4th Edition
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