Question

Construct a confidence interval of the population proportion at the given level of confidence. x equals540​, n equals1100​, 98​% confidence Click here to view the standard normal distribution table (page 1).LOADING... Click here to view the standard normal distribution table (page 2).LOADING... The lower bound of the confidence interval is

Answer 1

We need to construct the 98% confidence interval for the population proportion.

We have been provided with the following information about the number of favorable cases:

Favorable Cases X =	540
Sample Size N=	1100

The sample proportion is computed as follows,

based on the sample size N = 1100

and the number of favorable cases X = 540

The critical value for α=0.02 is

The corresponding confidence interval is computed as shown below:

Therefore, based on the data provided, the 98% confidence interval for the population proportion is 0.456<p<0.526,

which indicates that we are 98% confident that the true population proportion p is contained by the interval (0.456, 0.526).

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