Previous surveys reported that more men than women trade stocks online. A local brokerage firm randomly selected a sample of investors. They found that 45 out of 234 men traded online and 42 out of 251 women traded online, and wishes to perform a hypothesis test. Consider the following pair of hypotheses: H0: pwomen = pmen vs. HA: pwomen < pmen This pair of hypotheses can be examined with a z-tes. Imagine that we actually perform that test, and that we obtain a value of z for the test statistic. Now consider the following two claims about the factors that determine the value of z: I) If the sample estimates for the proportion of trading online among women and men had been further apart, then the (absolute) value of the test statistic would have been larger. II) If the sample sizes for women and men had been larger, then the (absolute) value of the test statistic would have been larger