Question

The population of Casperville is 1450. A sample of 100 people in the town was asked if they owned a landline, and 6 responded yes. What is the best estimate of the percent of the people in Casperville who will have landlines?

Answer 1

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: Number of people in Casperville that own a landline out of 100 people.

There is a fixed number of surveys made (trials) n=100, for each trial there are two possible answers, "success": the person owns a landline, and "failure": the person doesn't own a landline. Assuming each person is independent of the others and that the probability of success is the same for all trials, we can say that this variable has a binomial distribution: X~Bi(n;p)

To estimate the proportion/ percentage of people in Casperville that owns a landline you have to calculate the sample proportion:

^p=$\frac{number of "successes"}{n} = \frac{6}{100} = 0.06$

6% of the people surveyed owns a landline.

I hope this helps!