Problem

Much like sound bytes of news stories, statistical stülies are often reduced to one- or two-sentence stat-bytes For the following stat-byte, discuss what crucial information is missing and what more you would want to know before acting on the study A newspaper reports that over $60 \%$ of adults avoid visits to the dentist because of fear Which of the following is crucial information that you would want to know before acling on the study? Select all that apply A. The questions respondents were asked B. The goal of the study C. The variable of interest D. The size of the sample F. How respondents were chosen

Solution

Step 1 :The question is asking for crucial information that is missing from a statistical study reported in a newspaper. The study states that over 60% of adults avoid visits to the dentist because of fear. The question asks what more information we would want to know before acting on the study. The options given are: The questions respondents were asked, The goal of the study, The variable of interest, The size of the sample, and How respondents were chosen.

Step 2 :To answer this question, we need to consider what information is crucial for understanding and interpreting a statistical study.

Step 3 :The questions respondents were asked: This is crucial because the way a question is phrased can greatly influence the responses. Without knowing the exact questions, we cannot fully understand the responses.

Step 4 :The goal of the study: This is also crucial because it provides context for the study. Without knowing the goal, we cannot understand why the study was conducted and what it is trying to achieve.

Step 5 :The variable of interest: This is crucial because it tells us what the study is measuring. Without knowing the variable of interest, we cannot understand what the results of the study mean.

Step 6 :The size of the sample: This is crucial because it tells us how many people were surveyed. The larger the sample size, the more reliable the results. Without knowing the sample size, we cannot assess the reliability of the study.

Step 7 :How respondents were chosen: This is crucial because it tells us whether the sample is representative of the population. Without knowing how respondents were chosen, we cannot assess whether the results can be generalized to the entire population.

Step 8 :Therefore, all of the options given are crucial information that we would want to know before acting on the study.

Step 9 :Final Answer: \(\boxed{\text{A. The questions respondents were asked, B. The goal of the study, C. The variable of interest, D. The size of the sample, F. How respondents were chosen}}\).

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