Instruction 7.4
According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected.
-Referring to Instruction 7.4,the requirements for using a normal distribution to approximate a binomial distribution is fulfilled.

Question

Quizplus · Accepted Answer

The requirements for using a normal distribution to approximate a binomial distribution are:
1. The sample size is large enough (n≥30)
2. The population proportion (p) is not too close to 0 or 1 (0.05≤p≤0.95)
In this case, the sample size is 50, which is larger than 30, and the population proportion is 0.15, which is not too close to 0 or 1. Therefore, the requirements are fulfilled and we can use a normal distribution to approximate the binomial distribution.

Instruction 7.4 According to a Survey, Only 15% of Customers Who Visited