Author Question: According to data from the American Medical Association, 10 of us are left-handed. Suppose groups of ... (Read 114 times)

Zulu123 · **on:** Aug 1, 2018

According to data from the American Medical Association, 10 of us are left-handed. Suppose groups of 500 people are randomly selected. Find the probability that at least 80 are left-handed.

Describe the characteristics of this problem which help you to recognize that the problem is about a binomial distribution which you are to solve by estimating with the normal distribution. (Assume that you would not use a computer, a table, or the binomial probability formula.)

Question 2

Explain why a continuity correction factor is necessary when approximating the binomial distribution by the normal distribution. Refer to the terms discrete and continuous, and draw a diagram to support your answer.

What will be an ideal response?

mcarey591 · **Reply #1 on:** Aug 1, 2018

Answer to Question 1

The problem statement has a stated percent, 10, which corresponds to the p value, and a fixed number of trials, 500, which corresponds to n. No mean or standard deviation is given, and they are to be computed using the formulas and

Answer to Question 2

The binomial distribution is a discrete distribution with a probability histogram made up of bars. Each bar is one value, for example x = 6, but the bar actually runs from 5.5 to 6.5. Depending on the requested probability, the actual value is either 5.5 or 6.5. The student should draw a normal distribution with a bar x = 6 showing the boundary values of 5.5 and 6.5.