Use the Normal to model the distribution of sample proportions.
-According to a recent survey, about 33% of Americans polled said that they would
Likely purchase reusable cloth bags for groceries in order to reduce plastic waste.
Suppose 45 shoppers are interviewed a local supermarket. What is the probability that no
More than 28% of shoppers say that they are likely to purchase reusable cloth bags for
Groceries?
A) 0.2389
B) 0.7611
C) 0.4778
D) 0.5222
E) 0.3769

Question

Quizplus · Accepted Answer

To find the probability that no more than 28% of shoppers say they are likely to purchase reusable cloth bags, we use the normal approximation to the binomial distribution. The sample proportion is 0.28, the population proportion is 0.33, and the sample size is 45. Calculate the standard deviation of the sample proportion, then use the z-score formula to find the probability. The correct probability is approximately 0.2389.

Use the Normal to Model the Distribution of Sample Proportions