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. (b) The margin of error of a con dence interval when the con dence level is (I) 90% or (II) 80%. (c) The p-value for a Z-statistic of 2.5 calculated based on a (I) sample with n = 500 or based on a (II) sample with n = 1000. (d) The probability of making a Type 2 Error when the alternative hypothesis is true and the signi cance level is (I) 0.05 or (II) 0.10.

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