Final answer:
The question falls under high school-level mathematics, dealing with finding the percentage of people in a survey who support a specific contestant in a music competition. The calculation result is 29%, indicating that answer choice (a) is correct.
Step-by-step explanation:
The subject of the question relates to mathematics, specifically in the realm of probability and statistics. The grade level is most likely high school, as the concepts of percentage and survey analysis are within the curriculum coverage for that level.
Given 400 viewers of a popular music competition, with 116 wishing to see contestant A win, we can calculate the percentage: (116 / 400) * 100 = 29%. Thus, the correct answer is (a) 29% of the viewers wish to see contestant A win.
In context, when considering other examples provided such as taste tests, music preference surveys, and political approval polls, we are consistently dealing with the calculation of percentages and the analysis of survey data. This involves determining the proportion of a sample that has a particular attribute and may extend to more advanced topics like hypothesis testing and determining whether a sample is representative of a population.