Question

In the formula for the confidence interval, why do we add and subtract z * E.p-hat from p-hat? Because z * 5 - p-hat represents the degree of confidence. Because z * S. -hat represents the margin of error. Because p-hat represents the degree of confidence. Because phat represents the margin of error. 12) What do p and p-hat denote. respectively? The sample and the population. The population and the sample. The population proportion and the sample proportion. The sample proportion and the population proportion

Answer 1

In the formula for the confidence interval, we add and subtract z * E.p-hat from p-hat to account for the margin of error. p-hat and p represent the sample proportion and population proportion, respectively.

Step-by-step explanation:

The formula for the confidence interval is given as:

(p-hat - z * E.p-hat, p-hat + z * E.p-hat)

We add and subtract z * E.p-hat from p-hat because it represents the margin of error. The margin of error gives us a range of values within which the true population proportion is likely to fall. By adding and subtracting the margin of error from the point estimate (p-hat), we construct the confidence interval.

p-hat and p denote the sample proportion and population proportion, respectively. p-hat is calculated as x/n, where x is the number of successes and n is the sample size. p represents the true population proportion, which is unknown and estimated using p-hat.