A researcher claims that a higher proportion of women from California are members of the National Academy of Sciences when compared to the proportion of women nationwide who are members of the National Academy of Sciences. The null and alternative hypotheses for this claim are: H0: p1 = p2 Ha: p1 > p2 Suppose the P-value is 0.04 and the hypothesis test is conducted at a 5% level of significance. Which is the appropriate possible error and explanation? Type I error: the evidence leads us to reject the null hypothesis, but it is actually true. Type I error: the evidence leads us to reject the null hypothesis when it was actually false. Type II error: the evidence leads us to fail to reject the null hypothesis when the alternative hypothesis is true. Type II error: the evidence leads us to fail to reject the null hypothesis when it is true.