Therefore, based on the data provided, the 99% confidence interval for the population proportion is 0.20048<p<0.59952, which indicates that we are 99% confident that the true population proportion p is contained by the interval (0.20048,0.59952).
b. The critical value for α=0.10 is zc=z1−α/2=1.6449.
The corresponding confidence interval is computed as shown below:
Therefore, based on the data provided, the 99% confidence interval for the population proportion is 0.06975<p<0.23025, which indicates that we are 90% confident that the true population proportion p is contained by the interval (0.06975,0.23025).
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