Math Problem Statement

In a survey of 2428 adults in a recent​ year, 1405 say they have made a New​ Year's resolution.

Solution

To analyze this data, we can calculate the proportion and percentage of adults who reported making a New Year's resolution.

  1. Proportion: \approx 0.5786$$ So, approximately 57.86% of surveyed adults made a New Year's resolution.
  2. Percentage: Percentage=0.5786×100=57.86%\text{Percentage} = 0.5786 \times 100 = 57.86\%

This result suggests that about 57.86% of adults surveyed had made a New Year's resolution that year.

Would you like more details on how these percentages can be interpreted, or perhaps how to calculate confidence intervals?


Here are five related questions to expand on this concept:

  1. What is the probability that a randomly selected adult from this survey made a New Year's resolution?
  2. How would the percentage change if 50 more people reported making a resolution?
  3. If we repeated this survey with 3000 adults, would we expect similar proportions?
  4. How can confidence intervals be used to assess the reliability of this survey data?
  5. What is the percentage of adults who did not make a New Year's resolution?

Tip: When dealing with survey data, calculating proportions and percentages helps quickly interpret the findings in a meaningful way.

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Math Problem Analysis

Mathematical Concepts

Proportion
Percentage
Probability
Survey Data Analysis

Formulas

Proportion = Number of favorable responses / Total number of respondents
Percentage = Proportion * 100

Theorems

Basic probability concepts

Suitable Grade Level

Grades 7-9