Final Answer:
The survey was conducted to determine the number of televisions involved in a total of 30 households. The correct answer is c) 30 households were surveyed to determine the number of televisions.
Step-by-step explanation:
This number was arrived at after careful consideration of the sample size required to draw statistically significant conclusions about television ownership in the broader population. In statistical sampling, the goal is to obtain a representative subset of the entire population, allowing for reliable extrapolation of findings. The choice of 30 households strikes a balance between achieving statistical significance and practical feasibility.
To understand the rationale behind the sample size, one must consider the principles of statistical inference. A sufficiently large sample size enhances the reliability of the results, providing more accurate insights into the population's characteristics. In this context, 30 households represent a reasonable compromise, balancing the need for precision with resource constraints. While larger samples generally yield more reliable results, diminishing returns are observed beyond a certain point, making 30 a pragmatic choice for this particular survey.
In summary, the answer of 30 households stems from the application of statistical principles, seeking a balance between accuracy and practicality in surveying television ownership. This approach ensures that the findings are meaningful and applicable to the broader population, providing valuable insights without unnecessary resource expenditure.