1. Load the Hypothesis Tests for a Proportion (n = 200) Applet from www.pearsonhighered.com/sullivanstats or from StatCrunch by selecting Applets > Hypothesis tests > for a proportion. Let the sample size be n = 200, True p = 0.3, Null p = 0.3, and Alternative set to <. Simulate 1000 simple random samples of size n = 200. a. What would it mean to make a Type I error for this hypothesis test? b. Using the = 0.05 level of significance, what proportion of the samples would you expect to lead to a Type I error? What proportion of the samples actually led to a Type I error? 2. Load the Hypothesis Tests for a Proportion (n = 400) Applet from www.pearsonhighered.com/sullivanstats or from StatCrunch by selecting Applets > Hypothesis tests > for a proportion. Let the sample size be n = 400, True p = 0.3, Null p = 0.3, and Alternative set to <. Simulate 1000 simple random samples of size n = 400. a. Using the = 0.05 level of significance, what proportion of the samples would you expect to lead to a Type I error? What proportion of the samples actually led to a