Made in America A random sample of 2163 adults (aged 18 and over) was asked, “When you see an ad emphasizing that a product is ‘Made in America,’ are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?” The results of the survey are presented in the side-by-side bar graph. Which age group has the greatest proportion who are more likely to buy when made in America?

Verified step by step guidance

1. Step 1: Understand the question. We need to find which age group has the greatest proportion of people who are 'more likely' to buy a product when it is labeled 'Made in America.' This means we focus on the 'More likely' category in the bar graph.
2. Step 2: Identify the 'More likely' bars in the graph. These bars are colored blue according to the legend. For each age group (18-34, 35-44, 45-54, 55+), observe the height of the blue bar, which represents the relative frequency or proportion of respondents who are more likely to buy.
3. Step 3: Compare the heights of the blue bars across the age groups. The taller the blue bar, the higher the proportion of people in that age group who are more likely to buy the product when it is made in America.
4. Step 4: Note the approximate relative frequencies from the graph for each age group’s 'More likely' category. For example, the 18-34 group has a blue bar around 0.45, 35-44 around 0.61, 45-54 around 0.66, and 55+ around 0.75.
5. Step 5: Conclude that the age group with the greatest proportion is the one with the highest blue bar value, which is the 55+ age group, as it has the largest relative frequency for 'More likely' to buy.

Key Concepts

Relative Frequency

Relative frequency represents the proportion of observations within a category compared to the total number of observations. It is calculated by dividing the frequency of a specific outcome by the total sample size, allowing comparison across groups of different sizes.

Bar Graph Interpretation

A side-by-side bar graph displays multiple categories for each group, enabling comparison of different responses within age groups. Understanding how to read the height of bars relative to the y-axis helps identify which category has the greatest proportion.

Proportion Comparison Across Groups

Comparing proportions across different groups involves analyzing relative frequencies to determine which group has the highest or lowest value for a specific response. This is essential for identifying trends or differences among age groups in survey data.