00:01
Alright, so in the given question, we have been asked to construct a 95 % confidence interval for the population proportion.
00:07
Now, the size of the sample here is 10 ,000, right and the number of favorable, sorry, the sample proportion is 0 .07, right.
00:17
Now, for the confidence level of 95%, alpha will be 1 -0 .95 that is 0 .05, right.
00:25
So, for alpha 0 .05, the critical value is 1 .96.
00:30
Now, the margin of error here is critical value multiplied by the standard error.
00:36
So, this is equal to 1 .96 into square root of 0 .07 into 1 -0 .07 divided by 10 ,000 and this is equal to 0 .0050, right.
00:51
Now, the confidence interval here, this is equal to sample proportion plus minus the margin of error...