Concept explainers
a.
To construct: The 99% confidence interval and interpret it.
a.
Answer to Problem 11PT
The confidence interval is (0.49, 0.70).
Explanation of Solution
Given:
Number of successes ( x ) = 89
Number of trials ( n ) = 150
Formula used:
The formula to compute the confidence interval is:
Calculation:
The confidence interval using Ti-83 calculator could be computed as:
Thus, the confidence interval is (0.49, 0.70)
Interpretation:
There is 95% probability that the population proportion is between 0.49 and 0.70.
b.
To explain: If it could be concluded that more than half of the visitors are in favor of proposal.
b.
Answer to Problem 11PT
No, it cannot be concluded.
Explanation of Solution
From the above part, it is known that the population proportion is between 0.49 and 0.70. Since, the interval is also containing the value 0.49. Thus, it cannot be concluded that more than half of the visitors are in favour of proposal
Chapter 8 Solutions
The Practice of Statistics for AP - 4th Edition
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