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In this activity, you will use an applet to generate confidence intervals for the population proportion. You will use the results to understand what is meant by the confidence level and the role of sample size. Open the Confidence Intervals for a Proportion with p = 0.3 Applet (Go to StatCrunch>Applets > Confidence Intervals > for a proportionsComputel. Click Reset. 1 . Exploring the role of level of confidence: a. Construct 1,000 confidence intervals with n = 100, p =0.3. What proportion of the 95% confidence intervals included the population proportion, 0.3? (We simulate obtaining 1000 different random sample of size n=100 from a population with p=0.3) Construct another 1,000 confidence intervals with n = 100, p = 0.3. What proportion of the 95% confidence intervals included the population proportion, 0.37 Did the same proportion of intervals include the population proportion each time? What proportion did you expect to include the population proportion? b. Construct 1,000 confidence intervals with n = 100, p = 0.3. What proportion of the 99% confidence intervals included the population proportion, 0.3? Construct another 1,000 confidence intervals with n = 100, p = 0.3. What proportion of the 99% confidence intervals included the population proportion, 0.3? Did the same proportion of intervals include the population proportion each time? What proportion did you expect to include the population proportion in each part