Answer:
The 90% confidence interval would be given by (0.466;0.694)
Step-by-step explanation:
The estimated proportion of interest would be:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 90% confidence interval would be given by (0.466;0.694)