Question

Using the sample to represent the population.

Suppose that in a random sample of voters, 70% favor gun control. Is it okay to then say that 70% of the population favor gun control? Why or why not?

Answer #1

**Yes, one can say that 70% of
the population favour gun control.**

We know that if the sample is randomly obtained then it is always an unbiased estimate of the population mean but sample size should be inadequate. I mean if the population size in million or billion and we can't take a random sample of size 100. Then the statement about the population based on a random sample is not correct. Sample size should be large i.e. for this case sample size should be in at least lakhs.

Thus, if a random sample of voters tells us 70% favour gun control. Then we can say that 70% of the population favour gun control

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