To fix the null and alternate hypotheses for single proportion.
In the last mayoral election in a large city, 47 percent 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 following null and alternative hypotheses?
A) H_{0}: p = 0.47 vs. H_{a}: p < 0.47
B) H_{0}: p = 0.47 vs. H_{a}: p ≠ 0.47
C) H_{0}: p = 0.47 vs. H_{a}: p > 0.47