A market research firm is interested in studying consumer preferences for smartphones in a particular city. They target a population of 5000 residents. Of these, 40% are iPhone users, 30% are Android users, 20% are users of other operating systems, and 10% do not own smartphones. The firm randomly selects 1000 residents for their survey. Identify the population, sample, variables to be studied and the type of variable to be studied. Explain your answers.
Question
A market research firm is interested in studying consumer preferences for smartphones in a particular city. They target a population of 5000 residents. Of these, 40% are iPhone users, 30% are Android users, 20% are users of other operating systems, and 10% do not own smartphones. The firm randomly selects 1000 residents for their survey. Identify the population, sample, variables to be studied and the type of variable to be studied. Explain your answers.
Solution
The population in this study refers to the total set of observations that can be made. In this case, it is the 5000 residents of the particular city that the market research firm is interested in studying.
The sample is a subset of the population that is used to represent the entire group as a whole. Here, the sample is the 1000 residents that the firm randomly selects for their survey.
The variables to be studied in this research are the types of smartphones used by the residents (iPhone, Android, other operating systems, or no smartphone). These are the characteristics or measurements that can take on different values.
The type of variable to be studied here is categorical. This is because the smartphone usage can be categorized into different groups (iPhone, Android, other operating systems, or no smartphone), and there is no inherent order or ranking in these categories.
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