2. Some people think recycled products are lower in quality than other products, a fact that makes recycling less practical. Here are data on attitudes toward coffee filters made of recycled paper from a random sample of adults: Think the Quality of the Recycled Product Is... Higher Same Same Lower Buyers 25 6 11 Nonbuyers 33 22 49 a) Make a bar graph that compares buyers' and nonbuyers' opinions about recycled filters. Describe what you see. b) Do the data provide convincing evidence that buying recycled products is independent of their perceived quality? Carry out an appropriate test at the significance level.
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First, we need to create a bar graph that compares buyers' and nonbuyers' opinions about recycled filters. Unfortunately, the data is not provided in the question, so we cannot create the graph. However, we can assume that the graph would show the percentage of Show more…
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Attitudes toward recycled products Some people believe recycled products are lower in quality than other products, a fact that makes recycling less practical. Here are data on attitudes toward coffee filters made of recycled paper from a random sample of adults: $^{21}$ $$ \begin{array}{lcc} {\text { Recycled coffee filter status }} \\ \text { Quality rating } & \text { Buyers } & \text { Nonbuyers } \\ \text { Higher } & 20 & 29 \\ \text { Same } & 7 & 25 \\ \text { Lower } & 9 & 43 \\ \hline \end{array} $$ Make a well-labeled bar graph that compares buyers' and nonbuyers' opinions about recycled filters. Describe what you see.
Inference for Distributions of Categorical Data
Inference for Two-Way Tables
Attitudes toward recycled products Recycling is supposed to save resources. Some people think recycled products are lower in quality than other products, a fact that makes recycling less practical. People who actually use a recycled product may have different opinions from those who don’t use it. Here are data on attitudes toward coffee filters made of recycled paper among people who do and don’t buy these filters:16 (a) How many people does this table describe? How many of these were buyers of coffee filters made of recycled paper? (b) Give the marginal distribution of opinion about the quality of recycled filters. What percent of consumers think the quality of the recycled product is the same or higher than the quality of other filters?
Exploring Data
Analyzing Categorical Data
Recycling is supposed to save resources. Some people think recycled products are lower in quality than other products, a fact that makes recycling less practical. People who use a recycled product may have different opinions from those who don't use it. Here are data on attitudes toward coffee filters made of recycled paper from a sample of people who do and don't buy these filters: ${ }^{16}$ $$ \begin{array}{lcc} \hline & \multicolumn{2}{c} {\text { Buy recycled filters? }} \\ \cline { 2 - 3 } \text { Think quality is } & \text { Yes } & \text { No } \\ \text { Higher } & 20 & 29 \\ \text { The same } & 7 & 25 \\ \text { Lower } & 9 & 43 \\ \hline \end{array} $$ (a) How many people does this table describe? How many of these were buyers of coffee filters made of recycled paper? (b) Give the marginal distribution (in percents) of opinion about the quality of recycled filters. What percent of the people in the sample think the quality of the recycled product is the same or higher than the quality of other filters?
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