Approximately 34 percent of US households own at least one c

Approximately 34 percent of U.S households own at least one cat.

A. using the random digit table provided below, explain how you would conduct a simulation to estimate the percentage of cat owners among U.S. households. Assume that you will look at 10 households at a time.

B. Perform your simulation for 10 U.S. households. Run your simulation three times (in other words, run three trials). Make your procedure clear by marking directly on or above the table. State your conclusion.

Solution

Probability of success (p) = 34% = 34 / 100 = 0.34

using the random digit table provided below, explain how you would conduct a simulation to estimate the percentage of cat owners among U.S. households. Assume that you will look at 10 households at a time.

We can run simulation in MINITAB.

steps :

CALC --> Random data --> binomial distribution --> number of rows of data to generate : 10 --> store result in column c1 --> number of trials : 3 --> probability of success : 0.34

Run this command three times so we get three samples of size 10.

after that we have to calculate proportion :

Steps in MINITAB are,

START --> CALC --> CALCULATOR --> store result in c2 --> expression : x1/10 --> ok

similarly do for second and third sample.

output is,

The mean of the first proportion is,

p1 = sum of proportions / 10 = 0.14

p2 = 0.07

p3 = 0.07