Solution :
Given that,
n = 324
x =105
Point estimate = sample proportion =
= x / n = 105/324=0.324
1 -
= 1-0.324=0.676
At 90% confidence level
= 1 - 90%
= 1 - 0.90 =0.10
/2
= 0.05
Z/2
= Z0.05 = 1.645 ( Using z table )
Margin of error = E = Z
/ 2 *
((
* (1 -
)) / n)
= 1.645 (((0.324*0.676)
/ 324)
E= 0.0428
A 90% confidence interval for population proportion p is ,
- E < p <
+ E
0.324 -0.0428 < p <0.324 + 0.0428
0.281< p < 0.367
(0.281, 0.367)
The 90% confidence interval for the population proportion p is : (0.281, 0.367)
a simple random sample of 324 College student showed that 105 of them agree with a...
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