Furniture Land surveyed 550 consumers and found that 478 were enthusiastic about a new home dècor...
Furniture Land surveyed 550 consumers and found that 478 were enthusiastic about a new home dècor it plans to show in its store in High Point.
Construct the 99% confidence interval for the population proportion.
Homework Answers
Solution :
Given that,
Point estimate = sample proportion = 
= x / n = 478 / 550 = 0.869
1 -
= 1 - 0.869 = 0.131
Z
/2
= Z0.005 = 2.576
Margin of error = E = Z
/ 2 * 
((
* (1 -
)) / n)
= 2.576 * (((0.869
* 0.131) /550 )
Margin of error = E = 0.037
A 99% confidence interval for population proportion p is ,
- E < p <
+ E
0.869 - 0.037 < p < 0.869 + 0.037
0.832 < p < 0.906
The 99% confidence interval for the population proportion p is : (0.832 , 0.906)
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