Question

in a certain state, 40% of adults indicated that sausage is ther favorite pizza topping. suppose a simple random sample of adults in the state of size 22 is obtained and the number of adults who indicated that sausage is their favorite pizza topping was 13. what are values of the parameters n, p, and x in the binomial probability experiment? n = (type an integer or a decimal. do not round.)

Explanation:

Step1: Identify n (number of trials)

In a binomial probability experiment, \(n\) represents the number of independent trials. Here, the sample size is the number of trials. Given the sample size is \(22\), so \(n = 22\).

Step2: Identify p (probability of success)

\(p\) is the probability of success on a single trial. The problem states that \(40\%\) of adults indicated sausage is their favorite pizza topping. Converting the percentage to a decimal, \(p=0.4\).

Step3: Identify x (number of successes)

\(x\) is the number of successes in \(n\) trials. The number of adults who indicated sausage is their favorite pizza topping is \(13\), so \(x = 13\).

Answer:

\(n = 22\), \(p=0.4\), \(x = 13\)