Concept explainers
a)
To find the 95% confidence interval for p
a)
Answer to Problem 9.12E
The 95% confidence interval is, (0.1446,0.2554)
Explanation of Solution
Given:
n = 200
C=confidence level = 0.95
Formula:
Sample proportion:
Confidence interval for population proportion is,
Calculation:
Here,
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 confidence interval included p = 0.1
b)
Explanation of Solution
Given:
The 95% confidence interval is, (0.1446,0.2554)
The confidence interval (0.1446,0.2554) does not contain p = 0.1. Hence, it would be indicated that the first digit in each of the 200 five-digit groups of table B were not randomly selected.
Chapter 9 Solutions
Statistics Through Applications
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