In a population of 9500 subjects, 72% possess a certain characteristic. In a sample of subjects selected from this population, possess the same characteristic. How many subjects in the population and the sample, respectively, possess this characteristic

6840 subjects in the population posses this characteristic, while 288 subjects in the sample posses this characteristic

The given parameters are:

--- population

-- sample size

---- the proportion

The number of subjects that posses the characteristics is simply the average of the sample or the population.

For the population, the average is calculated as:

So, we have:

This means that:

6840 subjects in the population posses this characteristics

For the sample, the average is calculated as:

So, we have:

This means that:

288 subjects in the sample posses this characteristics

Read more about proportions, sample and population at:

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Complete Question

In a population of 9500 subjects, 72% possess a certain characteristic. In a sample of 400 subjects selected from this population, 73% possess the same characteristic. How many subjects in the population and the sample, respectively, possess this characteristic?

Population = 6840 subjects

Samples = 292 subjects

Step-by-step explanation:

In a population of 9500 subjects, 72% possess a certain characteristic.

The number of subjects in the population with this characteristics =

9500 × 72%

= 6840 subjects

In a sample of 400 subjects selected from this population, 73% possess the same characteristic.

The number of subjects in this sample with this characteristics is :

400 subjects × 73%

= 292 subjects

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

step-by-step explanation:

what is the figure? attach a picture.