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

When 1,000 people are sampled from the same population, it is expected that 200 would say they read a newspaper daily.

In the initial survey of 300 people, 60 reported reading a newspaper daily, which indicates a rate of 20%. If this rate is applied to a larger sample of 1,000, the expected number of daily readers would be 200.

A (180) YOUR ANSWER

Calculating 180 readers would imply a reading rate of only 18%, which is lower than the established 20% from the first sample. This discrepancy fails to maintain the same proportion as observed in the original survey, hence it is not a valid estimate.

B (200) CORRECT

This option accurately reflects the proportion established in the initial survey. With 20% of the 300 respondents indicating they read a newspaper daily, applying this same percentage to a sample of 1,000 results in 200 readers, making this the correct answer.

C (360) YOUR ANSWER

A solution of 360 would suggest a reading rate of 36%, significantly higher than the observed 20%. This overestimation does not align with the original survey findings and therefore cannot be considered a reasonable expectation.

D (500) YOUR ANSWER

Estimating 500 readers indicates a reading rate of 50%, which is also much greater than the original rate of 20%. This value misrepresents the data and fails to reflect the actual proportion found in the first sample.

E (760) YOUR ANSWER

Calculating 760 readers results in an unrealistic reading rate of 76%, far exceeding the established 20%. Such a high figure is not supported by the original survey, making it an inadequate estimation of expected readers in the larger sample.

Conclusion

In a survey where 60 out of 300 respondents read a newspaper daily, the established reading rate is 20%. When extrapolated to a larger sample of 1,000 individuals, it is reasonable to expect that 200 would indicate they read a newspaper daily, maintaining the same proportion observed initially. All other estimates significantly deviate from this established rate, rendering them incorrect.