Question 43

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

In the initial survey of 300 people, 60 indicated that they read a newspaper daily. This represents a proportion of 20% (60 out of 300). Therefore, if 1,000 people were sampled, we would expect 20% of that group to also say they read a newspaper daily, which calculates to 200 people.

A) 180

This option suggests that 180 people would read a newspaper daily, which corresponds to a proportion of 18% of the population. This is incorrect as it underestimates the proportion found in the original survey, which was 20%.

B) 200

This option accurately reflects the expected number of people reading a newspaper daily based on the original sample's proportion. Since 20% of 1,000 is indeed 200, this is the correct answer.

C) 360

This option implies that 360 people would read a newspaper daily, indicating a proportion of 36%. This is incorrect as it overestimates the proportion derived from the initial survey, which was only 20%.

D) 500

Suggesting that 500 people read a newspaper daily, this option represents 50% of the sampled population. This is inaccurate, as the original data indicated only 20% of respondents read a newspaper daily.

E) 760

This option implies that a staggering 760 people would read a newspaper daily, equating to 76% of the population. This is significantly higher than the 20% observed in the original sample, making it an incorrect choice.

Conclusion

The calculation based on the original survey indicated that 20% of respondents read a newspaper daily, leading to the correct conclusion that 200 people would be expected to do so in a larger sample of 1,000. All other options either underestimate or overestimate this proportion, making them incorrect. Thus, 200 remains the only accurate expectation based on the data provided.