A random sample of 803 people was taken. 154 of the people in the sample favored Candidate A. Find 90% confidence interval for the true proportion of people who favors Candidate A. Enter in the lower limit of the confidence interval you found.
Solution :
Given that,
Point estimate = sample proportion =
= x / n = 154 / 803 = 0.192
1 -
= 1 - 0.192 = 0.808
Z
= 1.282
Margin of error = E = Z
*
((
* (1 -
)) / n)
= 1.282 * (((0.192
* 0.808) / 803)
Margin of error = E = 0.018
A 90% lower confidence interval for population proportion p is ,
- E
0.192 - 0.018
0.174
Lower limit: 0.174
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