Question

The week before the bill to repeal the Affordable Care Act came up for consideration in the Senate, one polling agency increased the size of the random sample of U.S. adults they surveyed on this issue from 500 to 1500. What effect would this increase have on the polling agency's estimate of the proportion of U.S. adults in favor of repealing the Affordable Care Act, assuming the true proportion in favor remained constant

Answer 1

Answer:

Step-by-step explanation:

As sample size increase the variability of the estimate of the proportion would decreases ( reduces)

The formula of variance of the estimator of the proportion is as

$Var(\hat p)=\frac{p*(1-p)}{n}$

Since the denominator of the formula of the variance of sample proportion is n

so as n increase the variance of it decrease.

The center of the estimate of proportion would same

Because  $E(\hat p)=p$

which does not affect the value of n ( sample size).