A sample survey of 50 people in Harrisburg, PA indicates that 10 of them know the mayors name in the neighboring city. Out of 5,500 Harrisburg residents, how many would you predict know the name of the mayor of the neighboring city?
I thought 1100.
I did 10/50=x/5500, is this correct?
Thanks for your help
y-2= -1/2 (x-4)
the answer of 1100 is correct
yes, excellent, that is correct, as well as the answer
To predict the number of Harrisburg residents who would know the name of the mayor of the neighboring city, you can use a proportion based on the sample data you've provided.
First, let's calculate the proportion of people in the sample who know the mayor's name. You've mentioned that out of the 50 people surveyed, 10 of them know the name. So, the proportion can be calculated as:
Proportion = Number of people who know / Total sample size
Proportion = 10 / 50
Proportion = 0.2
Now, to predict how many out of the 5,500 Harrisburg residents would know the mayor's name, you can set up a proportion using the proportion from the sample data:
Proportion in population = Proportion in sample
Proportion in population = 0.2
Let's denote the number of Harrisburg residents who know the mayor's name as 'x'. We can set up the proportion as:
0.2 = x / 5500
To solve for 'x', we can cross-multiply and solve the equation:
0.2 * 5500 = x
1100 = x
Therefore, based on this calculation, you predict that approximately 1,100 out of the 5,500 Harrisburg residents would know the name of the mayor of the neighboring city.
So, your prediction of 1,100 is correct!