|
sample success x = |
26 |
|
sample
size        Â
n= |
150 |
|
sample proportion p̂ =x/n= |
0.1730 |
|
|
|
|
|
std error se= √(p*(1-p)/n)
= |
0.0309 |
|
|
|
|
|
for 90 % CI value of z= |
1.645 |
|
margin of error E=z*std
error  = |
0.0508 |
|
lower bound=p̂
-EÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
= |
0.1222 |
|
Upper bound=p̂
+EÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
= |
0.2238 |
|
from above 90% confidence interval for
population proportion =12.22% , 22.38
% |
b)
since margin of error is inversly proportion to square root of
sample size
therefore required sample size =4*150 =600
c)
since above is a sample of deer   taken by
hunters , this might not represent the population of deer in focus
and may give biased results
