Concept explainers
a)
To find the 95% confidence interval for p
a)
Answer to Problem 9.30E
The 95% confidence interval is, (0.4915 , 0.5223)
Explanation of Solution
Given:
n = 4040
C=confidence level = 0.95
Formula:
Sample proportion:
Confidence interval for population proportion is,
Calculation:
Sample proportion,
Now need to find Zc
The level of significance is = a =0.05
Therefore, Zc = Z a/2 = 1.96 ..Using excel
Therefore, the 95% confidence interval for population proportion is,
b)
To explain if p=0.5 is plausible.
b)
Explanation of Solution
Given:
Population proportion = p =0.5
The 95% confidence interval is, (0.4915, 0.5223)
We are 95% confident that p=0.5 will contain in the interval (0.4915, 0.5223). This indicate that p=0.5 is a plausible value for the population proportion.
Chapter 9 Solutions
Statistics Through Applications
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