Based on your analysis of the relationship between respondents’ education and the intention to switch, which two of the following four statements are correct?

Question

BlackTom AI · Accepted Answer

The prompt asks us to analyze the relationship between respondents’ education and the intention to switch, and to identify which two of the four statements are correct. We will examine each option in turn, considering what can be inferred from a dependency analysis between education level and switching intention.

Option a: 'Respondents with a tertiary degree tend to have higher probability of switching.' This statement asserts a directional relationship (higher probability of switching for those with a tertiary degree). However, without the actual data, statistical results, or a description of the dependency analysis showing the direction of association, we cannot confirm that tertiary education increases switching probability. Dependency analyses can reveal that two variables are related (dependent) but do not by themselves specify the direction or magnitude of the effect unless the analysis explicitly provides that information. Therefore, this claim cannot be accepted as correct based solely on the information given.

Option b: 'Respondents with a tertiary degree tend to have lower probability of switching.' Like option a, this asserts a specific direction (lower probability) of the relationship. Again, without empirical results indicating a negative association or an odds ratio less than 1, this cannot be established as correct from the description provided. It remains equally plausible that either direction could be observed (or none) depending on the data, so this option is not verifiably correct from the current information.

Option c: 'The respondents’ education and intention to switch are dependent.' This statement claims there is a dependency between education and switching intention. If the analysis described is indeed a dependency analysis, and the finding is that education and switching intention are related, then this option would be correct in that it accurately reflects a non-independence relationship. A dependency (or association) means that knowing a respondent’s education provides information about their switching intention beyond random chance. This option aligns with what dependency analysis would reveal when a relationship exists between the variables.

Option d: 'The respondent’s education and intention to switch are independent.' This is the negation of option c. If option c correctly asserts a dependency based on the analysis, then this statement would be false. Independence means no association between education and switching intention, which would contradict a finding of dependency. Therefore, this option would be incorrect if the analysis indeed found dependency.

At this point, we have considered the logical implications: options a and b require specific directional effects that cannot be confirmed without data; option c asserts a dependency, which would be consistent with a dependency analysis if such a relationship was found; option d claims independence, which would be incompatible with a dependent finding. Since the prompt indicates there are two correct statements based on dependency analysis, the most defensible claims, given the usual interpretation of a dependency analysis, are that there is some association (dependency) between education and switching intention (supporting option c), and, depending on the exact results, another statement about the nature or direction of that association could also be supported by the data. Without the actual numerical results, however, options a and b cannot be verified as correct, and option d would be incorrect if dependency was established.

To summarize the reasoning: the core concept to rely on is whether education and switching intention are linked (dependent) or not (independent). If the analysis shows dependency, option c is supported and option d is not; options a and b require directional effects that cannot be confirmed without specific results. The statement in the provided 'answer' field—about the correct statements being determined based on the dependency analysis—accurately reflects that dependency analysis is the basis for identifying the correct statements, which coheres with selecting option c as a correct descriptor of the relationship. Nevertheless, since the task requires judging all options, note that a and b cannot be asserted as correct without directional evidence, and d would be incorrect if dependency exists.

MCD2080 - T1 - 2025 Workshop Exercises (Week 3)

Based on your analysis of the relationship between respondents’ education and the intention to switch, which two of the following four statements are correct?

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