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"Identify a parameter that the journalist could estimate from the data he collected in the first question of his survey. Then, explain how the journalist could calculate the estimate for the parameter you selected. Is the estimate for the parameter a parameter itself, or is it a statistic? Explain."

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Final answer:

A journalist could estimate the population proportion as a parameter from their survey data by dividing the number of 'yes' responses by the total number of responses. This calculation results in a statistic, not a parameter, as it comes from a sample.

Step-by-step explanation:

A journalist collected data from the first question of their survey and now wishes to estimate a parameter. A parameter that the journalist could estimate is the proportion of respondents who gave a particular answer to the survey question. For instance, if the question was 'Do you read a newspaper daily?', and the journalist collected responses from a sample of people, the parameter could be the true proportion of all people who read a newspaper daily.

To calculate this estimate, the journalist could tally the number of 'yes' responses and divide by the total number of responses collected. If 150 out of a sample of 300 people said 'yes', the estimate of the parameter (proportion of people who read a newspaper daily) would be 150/300 = 0.5, or 50%. This estimate is not the parameter itself, as it is derived from a sample, not the entire population. It is, rather, a statistic used to infer what the true parameter might be.

In statistical terminology, a statistic is a characteristic of a sample, whereas a parameter is a characteristic of a population. The value derived from the sample data (the statistic) serves as an estimate and may subsequently be used to make generalizations about the whole population through inferential statistics.

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User Raphael Isidro
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