Increasing the sample size while keeping the same confidence level has what effect on the margin of error? a. increases the margin of error and hence increases the precision b. increases the margin of error and hence decreases the precision c. decreases the margin of error and hence increases the precision d. decreases the margin of error and hence decreases the precision e. none of the above

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  

Z = The Z-score corresponding to the confidence level

S = The estimated standard deviation of the population

n = the size of the sample.

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

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

; )

step-by-step explanation: ; )