Question

The​ _____ _____, denoted ModifyingAbove p with caretp​, is given by the formula ModifyingAbove p with caretpequals=​_____, where x is the number of individuals with a specified characteristic in a sample of n individuals.

Answer 1

The​ sample proportion, denoted by ^p​, is given by the formula ^p=​
`(x)/(n)`, where x is the number of individuals with a specified characteristic in a sample of n individuals.

Explanation:

Sample proportion is used to determine sample mean, sample standard error and test the hypotheses about the population.

sample mean can be stated as p and sample standard error can be found using the equation
`\sqrt{(p*(1-p))/(n) }` where

• n is the sample size

• p is the sample proportion

And if n×p×(1-p)≥10, then sample is assumed large enough to assume normal distribution and apply statistical test.