Concept explainers
To construct: The 95% confidence interval for the proportion of adult that play video games and interpret it.
Answer to Problem 41E
The confidence interval is (0.468, 0.512)
Explanation of Solution
Given:
Sample proportion
Formula used:
The formula to compute the confidence interval for population proportion is:
Calculation:
From the standard normal table, the z-score at 95% confidence level is 1.96.
The 95% confidence interval for the proportion of adult that play video games can be calculated as:
Thus, the confidence interval is (0.468, 0.512)
Interpretation:
There is 95% probability that the proportion of adult that play video games lies between 0.468 and 0.512.
Chapter 8 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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