The U.S. Census Bureau reported that 86.5% of adults in the U.S. age 65 and older are Caucasian. 98.5% of them have health insurance. What percent are Caucasians age 65 and older AND do not have health insurance?

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BlackTom AI · Accepted Answer

The question asks for the percent of adults who are Caucasian (65+) and do not have health insurance, given two percentages: 86.5% are Caucasian and 98.5% have health insurance.

To find the joint percentage of those who meet both criteria (Caucasian and do not have insurance), we can treat the two events as independent for this calculation. Under independence, the probability of both events is the product of the probabilities: P(Caucasian) × P(no insurance).

P(Caucasian) = 0.865 (since 86.5% = 0.865)
P(no insurance) = 1 − P(insurance) = 1 − 0.985 = 0.015

Multiply: 0.865 × 0.015 = 0.012975

This decimal represents the proportion of the population in question. Converting to a percentage, 0.012975 × 100% ≈ 1.2975%

If the question expects a decimal proportion rather than a percentage, you would report 0.012975 (which rounds to 0.013 when presented to three decimal places). The given answer value 0.013 corresponds to approximately 1.3% when expressed as a percentage.

Note on approach: the calculation assumes independence between being Caucasian and having health insurance. If there were dependencies or correlations between race/ethnicity and insurance status in the underlying data, the joint percentage could differ. Given the numbers provided, the straightforward product yields 0.012975 (≈ 0.013).

Since no explicit alternative options are provided in the prompt, this reasoning shows how to obtain the value 0.013 from the given figures using basic probability multiplication and a conversion between decimals and percentages.

STAT 1450.02 SP2025 (28132) Checkpoint 13.3 - 13.5

The U.S. Census Bureau reported that 86.5% of adults in the U.S. age 65 and older are Caucasian. 98.5% of them have health insurance. What percent are Caucasians age 65 and older AND do not have health insurance?

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