4.31 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 x when s = 120 and (I) n = 25 or (II) n = 125.

• no difference under situations I and II
• larger under situation I
• larger under situation II

(b) The margin of error of a confidence interval when the confidence level is (I) 90% or (II) 80%.

• larger under situation I
• larger under situation II
• no difference under situations I and II

(c) The p-value for a Z-statistic of 2.5 when (I) n = 500 or (II) n = 1000.

• larger under situation II
• no difference under situations I and II
• larger under situation I

(d) The probability of making a Type 2 Error when the alternative hypothesis is true and the significance level is (I) 0.05 or (II) 0.10.

• no difference under situations I and II
• larger under situation II
• larger under situation I