In the last mayoral election in a large city, 47% of the adults over the age of 65 voted Republican. A researcher wishes to determine if the proportion of adults over the age of 65 in the city who plan to vote Republican in the next mayoral election has changed. Let p represent the proportion of the population of all adults over the age of 65 in the city who plans to vote Republican in the next mayoral election. In terms of p, the researcher should test which of the following null and alternative hypotheses?
A) H0: p = 0.47 vs. Ha: p < 0.47
B) H0: p = 0.47 vs. Ha: p ≠ 0.47
C) H0: p = 0.47 vs. Ha: p > 0.47