business according to a survey conducted by a citys chamber of commerce, approximately 41.5% of city…

business according to a survey conducted by a citys chamber of commerce, approximately 41.5% of city residents prefer local businesses over national chains. the survey had a margin of error of ±3.8%. round to the nearest tenth, if necessary. the range of the actual percentages of city residents who prefer local businesses over national chains is % to %. round to the nearest tenth, if necessary. of the estimated 42,562 city residents, it is expected that between and would prefer local businesses over national chains.

business according to a survey conducted by a citys chamber of commerce, approximately 41.5% of city residents prefer local businesses over national chains. the survey had a margin of error of ±3.8%. round to the nearest tenth, if necessary. the range of the actual percentages of city residents who prefer local businesses over national chains is % to %. round to the nearest tenth, if necessary. of the estimated 42,562 city residents, it is expected that between and would prefer local businesses over national chains.

Answer

Explanation:

Step1: Calculate lower - bound of percentage

Subtract the margin of error from the surveyed percentage. $41.5 - 3.8=37.7$.

Step2: Calculate upper - bound of percentage

Add the margin of error to the surveyed percentage. $41.5 + 3.8 = 45.3$.

Step3: Calculate lower - bound of number of residents

Multiply the lower - bound percentage by the total number of residents. $0.377\times42562=42562\times0.377 = 16045.874\approx16045.9$.

Step4: Calculate upper - bound of number of residents

Multiply the upper - bound percentage by the total number of residents. $0.453\times42562=42562\times0.453 = 19270.586\approx19270.6$.

Answer:

The range of the actual percentages of city residents who prefer local businesses over national chains is $37.7%$ to $45.3%$. Of the estimated 42,562 city residents, it is expected that between $16045.9$ and $19270.6$ would prefer local businesses over national chains.