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Answer:
The 95% confidence interval would be given by (0.380;0.440)
The 99% confidence interval would be given by (0.370;0.450)
Step-by-step explanation:
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 95% 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 95% confidence interval would be given by (0.380;0.440)
And for the 99% confident interval the critical value would be 2.58 and if we replace we got:
The 99% confidence interval would be given by (0.370;0.450)