Question

A report was generated with the responses of 9,569,460 people.

The responses were unique… It showcased the similarities between the demographics of the population and the responses provided. The population was made of the following demographics. 34% White, 23%, Asian, 14% Hispanic, and the rest were African American.
The African American population was split along with the White population according to gender.
African American women represented 80 percent, and White women represent 74% of the responses.
Calculate the number of each demographic, in conjunction calculate the number of African American males compared to the population of White males that provided a response.

Answer 1

The respective number of people in each demographic based on the population of 9,569,460 is approximately 3,253,616 for Whites, 2,201,076 for Asians, 1,339,723 for Hispanics, and 2,775,043 for African Americans. Of the African American population, there are approximately 555,009 males, compared to approximately 845,940 White males.

Step-by-step explanation:

The question is asking you to calculate the number of people in each demographic based on a total of 9,569,460 responses and given percentages. It also asks to determine the number of African American males versus the number of White males among these responses.

Calculation of Demographic Numbers

First, we calculate the number of people in each demographic:

• White: 34% of 9,569,460 = 0.34 * 9,569,460 = 3,253,616.4
• Asian: 23% of 9,569,460 = 0.23 * 9,569,460 = 2,201,075.8
• Hispanic: 14% of 9,569,460 = 0.14 * 9,569,460 = 1,339,723.4
• African American: 100% - (34% + 23% + 14%) = 29% of 9,569,460 = 0.29 * 9,569,460 = 2,775,043.4

Calculation of African American and White Males

African American Women: 80% of African American population = 0.80 * 2,775,043.4 = 2,220,034.7

African American Males: 100% - 80% = 20% of African American population = 0.20 * 2,775,043.4 = 555,008.7

White Women: 74% of White population = 0.74 * 3,253,616.4 = 2,407,676.1

White Males: 100% - 74% = 26% of White population = 0.26 * 3,253,616.4 = 845,940.3

Note that the decimals indicate fractions of individual members of the population, but in reality, population counts should be in whole numbers. Since we're working with theoretical percentages, we will not round these numbers for the sake of the calculations.