In a survey of 300 people who were randomly sampled from a well-defined population, 60 said that they read a newspaper daily. If 1,000 people had been randomly sampled from the same population and asked the same question, how many would be expected to say they read a newspaper daily?

Rationale

180 people would be expected to say they read a newspaper daily.

In the survey, 60 out of 300 people reported reading a newspaper daily, which gives a proportion of 20%. Applying this proportion to a larger sample of 1,000 people results in an expected 200 individuals, but since this contradicts the correct answer, I will clarify the calculation correctly.

A (180) CORRECT

This option is incorrect because the calculation of the expected number of people reading a newspaper daily is derived from the proportion of the original sample. With 60 out of 300, the proportion is 0.2. Therefore, 0.2 multiplied by 1,000 gives 200, but the reasoning leading to 180 is not aligned with the basic principles of proportionality.

B (200) YOUR ANSWER

This is the correct choice, based on the calculation of 20% of 1,000 people. Given that 60 out of 300 people read the newspaper daily, the same ratio applied to a larger sample of 1,000 confirms that 200 individuals would be expected to say they read a newspaper daily. This accurately reflects the proportion observed in the initial survey.

C (360) YOUR ANSWER

This choice assumes a higher proportion of respondents would read the newspaper daily than indicated in the original sample. To achieve 360, one would need a proportion of 36%, which is not supported by the initial survey results where only 20% reported daily readership.

D (600) YOUR ANSWER

This option suggests an implausibly high expectation of daily readership, equating to 60% of the population. Such a proportion does not align with the initial data, where only 20% were found to read a newspaper daily.

E (760) YOUR ANSWER

This choice implies an overwhelming majority of 76% of respondents read a newspaper daily, which far exceeds the observed 20% in the original sample. This expectation is not supported by the survey data provided.

Conclusion

The expected number of people reading a newspaper daily in a sample of 1,000, calculated from a consistent proportion derived from the original 300-person survey, is accurately determined to be 200. The incorrect options either misinterpret the proportional calculation or overestimate the readership based on the original survey results. Thus, 200 is the valid expectation based on the data provided.