Answer:
C. Decreases the margin of error and hence increases the precision
Step-by-step explanation:
If we select a sample by Simple Random Sampling in a population of “infinite” size (a population so large that we do not know its size exactly), then the margin of error is given by
where
<em>Z = The Z-score corresponding to the confidence level
</em>
<em>S = The estimated standard deviation of the population
</em>
<em>n = the size of the sample.
</em>
As we can see, since n is in the denominator of the fraction and the numerator is kept constant, the larger the sample size the smaller the margin of error, so the correct choice is:
C. Decreases the margin of error and hence increases the precision
Answer:
(p+2)(p-2)(p²+4)
Step-by-step explanation:
The binomial p⁴-16 is a difference of squares. This is because p⁴ is a perfect square, as is 16. This means we can write it as the sum of the square roots multiplied by the difference of the square roots:
(p²+4)(p²-4)
The first binomial, p²+4, cannot be factored any further.
The second binomial, p²-4, is another difference of squares, since p² is a perfect square, as is 4:
(p+2)(p-2)
This gives us
(p²+4)(p+2)(p-2)