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3. The results of the primary election are shown. Smith 15% Goron 35% Other 10% Fishman 40% (a) Order the popularity of the choices from greatest to least. (b) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work. (c) 40 people voted for "Other." Was the estimate of total voters from Part (b) accurate? Explain. Answer: I C Focus 33

Sagot :

a) The order is;

Fishman

Goron

Smith

Other

b) 98 people would have voted for Goron if the estimation was true

c) The estimate was not correct as the actual value obtained (40) is not same as what was estimated (28)

a) We want to order the popularity of choices from greatest to least

What we have to know and understand here is that the higher the percentage, the greater the popularity

Thus, we have it that;

Fishman

Goron

Smith

Other

b) As we can see from the data presented, Goron had 35% of the votes

So, the number of people that voted for Goron will be;

[tex]\begin{gathered} 35\text{ \% of 280} \\ =\text{ }\frac{35}{100}\times280\text{ = 98} \end{gathered}[/tex]

98 people would have voted for Goron if the estimation was true

c) Here, we want to evaluate if the total we had from part B was correct

What we have to do here is get the number that would have been correct if at all 280 people voted

We have this as;

[tex]\begin{gathered} 10\text{ \% of 280} \\ =\text{ }\frac{10}{100}\times280\text{ = 28} \end{gathered}[/tex]

The estimate was not correct as the actual value obtained (40) is not same as what was estimated (28)