Question

There are​ 15,958,866 adults in a region. if a polling organization randomly selects 1235 adults without​ replacement, are the selections independent or​ dependent? if the selections are​ dependent, can they be treated as independent for the purposes of​ calculations?

Answer 1

Answer:

The selections are dependent. They can be treated as independent for the purpose of calculations.

Explanation:

Although the selections are random, they are done without replacement which makes them dependent.

To determine whether the selections can be treated as independent, we first have to calculate the sample size relative to the size of the population.

Population = 15,958,866

Sample = 1,235

Sample as a proportion of population

= (1,235 / 15,958,866) * 100

= 0.0077%

Since the sample size is less than 5% of the population, we can treat the selections as independent for the purpose of calculations.

Answer 2

Answer:

The determinations are​ subordinate, in light of the fact that the choice is managed without substitution.  Truly, on the grounds that the example estimate is less than​ 5% of the populace.  

Explanation:

World meters ,continuous world insights, the total populace is 7,457,996,392. 2% of the total populace is 149,159,928 individuals. Around 150 million individuals. Most contemporary appraisals for the conveying limit of the Earth under existing conditions are between 4 billion and 16 billion. Contingent upon which gauge is utilized, human overpopulation could conceivably have just happened. By and by, the quick ongoing increment in human populace is causing some worry.