00:01
It is given that the lower bound for the confidence interval is 0 .464.
00:10
Upper bound for the confidence interval is 0 .91.
00:15
Sample size n is equal to 1 ,200.
00:21
Now we have to identify the point estimate of the population proportion, that is the sample proportion p -cap, the margin of error for the confidence interval and the number of individuals in the sample with the characteristic, that is x.
00:42
Now it is known that confidence interval is equal to point estimate plus or minus margin of error.
00:57
The point estimate is p -cap, that is confidence interval is equal to p -cap plus or minus margin of error.
01:06
That is the lower confidence bound is equal to p cap minus margin of error and the upper confidence bound is equal to p cap plus margin of error that is lower bound is 0 .464 is equal to p cap minus margin of error and upper bound 0 .91 is equal to p cap plus margin of error.
01:40
Consider these two equations.
01:42
Now we can add these two equation that is 1 .374 is equal to 2 p -cap or p -cap is equal to 1 .374 divided by 2 which is equal to 0 .687.
02:12
Now hence, the point estimate of the population proportion is p -cap is equal to 0 .6870...