Discussion 18-1 3 3 Start StatCrunch and make the following sequence selection: Applets -> Confidence intervals -> for a proportion. Observe the default values that are given in the resulting popup window. Based on your lessons' readings you should be familiar with the significance of these given default values. Next click on "Compute!". The resulting window displays the outcome of 100 simulation runs that use these given default values. The black vertical line in this window display intersects the horizontal x-axis at 0.50 which is equal to the given default population proportion 0.50. Using this definition of the black vertical line what do the horizontal green and red lines represent? The value in the "Prop. contained" box is equal to the proportion of all the currently computed Confidence Intervals that contain the given default true population proportion 0.50 between the lower and upper bounds of these computed Confidence Intervals. Now click the "1000 intervals" tab several times. Each click of this tab executes an additional 1000 simulation runs and computes 1000 additional Confidence Intervals. Observe how the value in the "Prop. contained" box changes with each click of the "1000 intervals" tab. What number is the value in the "Prop. contained" box approaching? Summarize your observations of this applet by stating why in this case you are 95% confident that a single computed Confidence Interval will contain the true population proportion. Now suppose the given Confidence Level is set to 90% (=0.90). What number would you expect the value in the "Prop. contained" box to be approaching? Discuss if this applet experiment has given you a clearer understanding of what a Confidence Interval is and what your percent of confidence in this single computed Confidence Interval is