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Use the following sample to estimate the population proportion of red automobiles in the United States.
A.19%
B.20%
C.21%
D.22%


Sagot :

The population proportion of red automobiles in the United States exists 22 %.

What is meant by proportion?

An analysis of two numbers in terms of their proportion. A ratio is said to be directly proportional to another if two sets of given numbers are increasing or decreasing in the same ratio.

The proportion of red automobiles in the United States(P) is given by:

P = [Number of red automobiles / Number of automobiles in US ]× 100

According to the table

Number of red automobiles = 32 + 29 + 23

Number of red automobiles = 84

Number of automobiles

= 32 + 29 + 23 + 18 + 36 + 25 + 4 + 17 + 11 + 25 + 26 + 39 + 10 + 46 + 33

Number of  automobiles = 374

put the values into the equation

P = [Number of red automobiles / Number of automobiles in US ] × 100

substitute the values in the above equation, we get

P = [84 Cars / 374 Cars] × 100

simplifying the above equation, we get

Proportional = 0.2245 × 100

Proportional = 22.45

Proportional = 22 percentage

Therefore, the correct answer is option D. 22 %.

To learn more about proportion refer to:

https://brainly.com/question/870035

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