Which is higher? In each part below, there is a value of interest and two scenarios (I and II). For each part, report if the value of interest is larger under scenario I, scenario II, or whether the value is equal under the scenarios. (a) The standard error of p when (I) n=125 or (II) n=500 larger in II equal larger in I (b) The margin of error of a confidence interval when the confidence level is (I) 90% or (II) 80% larger in I equal larger in II (c) The p-value for a z-statistic of 2.5 calculated based on (I) a sample with n=500 or based on (II) a sample with n=1000 larger in I larger in II equal (d) The probability of making a Type II Error when the alternative is true and the significance level is (I) 0.05 or (II) 0.10 larger in II larger in I equal