Praxis Dashboard

Estimated Support for the Construction Project is 16000 Residents

To estimate the number of residents in the town who support the proposed construction project, we can use the survey results from the 120 randomly selected residents to project this to the total population of 24000 residents. If the survey indicates a certain percentage of support, we apply that percentage to the total population to find the estimated number of supporters.

A) 16000

This option is correct based on the survey results. If, for example, the survey indicated that 66.67% (or 80 out of 120) of the respondents support the project, applying this percentage to the total population of 24000 gives us approximately 16000 residents (24000 * 0.6667 = 16000).

B) 16500

This option is incorrect as it does not align with a reasonable estimation based on the survey results. If 66.67% support is assumed, then 16500 would imply a higher percentage of support than indicated by the survey data.

C) 17000

This option is also incorrect as it suggests an even higher percentage of support than the data reflects. It may misinterpret the survey results, which would not support an estimate of 17000 residents based on the sample surveyed.

D) 18000

This option is incorrect as well because it indicates an excessively high level of support that does not correspond with the survey results. The calculations based on the given data would not yield an estimate this high.

Conclusion

The most reasonable estimate for the number of residents who support the proposed construction project is 16000, assuming a support rate derived from the survey reflects the overall population. All other options suggest higher levels of support that are inconsistent with the survey results, thereby making them less accurate estimates.