A sample of 390 senior high school students applied to different state universities, wherein 117 are female. Find the 99% confidence interval of the true population proportion who applies for different state universities
The sample proportion is computed as follows, based on the sample size and the number of favorable cases
The critical value for is
The corresponding confidence interval is computed as shown below:
Therefore, based on the data provided, the 99% confidence interval for the population proportion is which indicates that we are 99% confident that the true population proportion is contained by the interval
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