|
                                                                                         Â
x                  Â
=Â Â |
76 |
|
sample size |
|
n                  Â
= |
|
1438.0 |
| sample
proportion    p̂ |
x/n= |
|
0.0529 |
|
|
|
|
|
|
| std
error      =Se |
         Â
=√(p*(1-p)/n) = |
0.0059 |
|
|
|
|
|
|
| for 95 % CI
value of z= |
|
|
1.96 |
| margin of
error E=z*std
error                          Â
= |
|
0.0116 |
| lower
confidence bound=sample proportion-margin of error |
0.0413 |
| Upper
confidence bound=sample proportion+margin of error |
0.0645 |
a)
   proportion of people in the survey who believe
astrology is very scientific =0.0529
b)
95% confidence interval for the population proportion =0.041 ,
0.064
c)
Yes as 5% falls within confidence interval
