Concept explainers
To draw 10 intervals that illustrate the meaning of 80% confidence.
Answer to Problem 9.8E
Explanation of Solution
Given:
Confidence level = 0.80
Formula:
Calculation:
First need findzc for confidence level = 0.80
So, level of significance = a = 0.20
Therefore,
zc = z a/2 = 1.28 …Using excel formula, =ABS(NORMSINV(0.2/2))
Therefore,
The boundaries of 80% confidence interval that are symmetric about the population mean the between +/- 1.28 standard deviations from mean.
That is,
The possible graph will be,
That means, 8 out of 10 confidence interval contains true population proportion p.
Chapter 9 Solutions
Statistics Through Applications
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